ap calc no calculator
what is the largest set on which f'(x)<0? f'(x)>0
(-1,1) version 6 (-4,-1)U(1,4) 4.1 version 4 (version 2 is different)
function defined by f(x)=x^2-12x+289. on which of the following intervals is f(x) decreasing?
(-2,2)
f(x)=cos^2x+tan^2xcos^2x/3x then f'(x)=
-1/4x^2
find the slope of the tangent line for f(x) at x=2 given f(x)=1/(2x)^2/3
-1/6
limit as x->infinity 9x^3+x^2+x/-8x^2+x+12
-9/8
x^2-5x+8 x<4 2x-4 which of the following limits exist
1,2,3 4-,4+,4
1.1
1.1 many graphs need to find what the limit is as it approaches.. for what value of c as x->1
limit as x->3 s^2+4x-21/x^2+3x-18
1.111
f(x)=8, g(X)=2, h(x)=4 limit->d 3f(x)/h(x)+3g(x)=?
12
find the slope of y=2x^2-5 at x=3
12
a bungee jumper leaps off a bridge 80 feet above the ground using a 55-foot long bungee cord. her height as a function of time: h(t)=60 sin(t+1)/(t+1)^3/4+30 how far does the bungee cord stretch during the initial descent?
14 feet
for what values of x does the function f(x)=x^3-27x+168x-20 have a horizontal tangent line?
14,4
x=-10, (-4u+5v+vu)
17
f(x)=3, g(x)=2 limit as x->a [3f(x)^2-4g(x)]
19
the graph f'(x) is given below: f'(x)=2x+2 the slope of f(x) at x=-2 is BLANK. the slope of f(x) at x=-2 is BLANK the slope of f(x) at x=0 is BLANK.
2,0,2
what values of b would make the function continuous given 5x^2-5x+4 x<b 4x^2-2x+2 x>b
2,1
what values of b would make the function continuous given 5x^2-10x+20 x<b 4x^2-3x+10 x>b
2,5
let y=e^3x. find d^ny/dx^n
3^ne^3x
find f'(x) if f(x)=loga(a(^x^34x)
3x^2+4
given the derivative of a function f'(x)=x-1/x^2-2x-15 at what x-values are the critical points located that represent the vertical asymptotes of the function f?
5,-3
limit as x->0 (24x^8)^1/2+7x/2x
7/2
On what interval does the intermediate value theorem prove that the equation x^2+7x+6=0 has at least one solution?
[-2,0]
2.5
chain rule
find the d^2y/dx^2 of the equation e^x-e^y=6
e^x(e^y-e^x)/e^2y
which of the following statements is true? f is concave up on (-5,2) f is concave down on (-3,-1) f has a point of inflection at x=-2
f has a point of inflection at x=-2 version 1
Unit 1 quiz
graphs of as limit ->BLANK
if f(x)=tanx/cosx, then f'(x)=
secx(sec^2x+tan^2x)
The positiion of a particle on the x-axis is given by x(t)=t^2-4x+3. At what time is the particle's velocity zero?
t=2
a critical point for the function f(x)=x-1/x^2-1 is found at x=1. what does this reveal about the function at that x-value
the function has a removable discontinuity at x=1
given the curve y^2=x-1, where is its slope undefined?
x=1
find the vertical and horizontal asymptotes of 9x/512-8x 3x^2/128-2x^2 3x^2/320-5x^2 7x^2/320-5x^2
x=64 y=-9/8 x=8 y=-3/2 x=8 y=-3/5 x=8 y=-7/5
find dy/dx when y=ln(sin(x)/x)
xcos(x)-sin(x)/xsin(x)
the position of a block attached to a horizontal spring is represented by the following equation s(t)=4sin(5^1/2t) in the interval t=[0,1], when is the bock at rest?
0.702 seconds
the velocity of a cyclist is represented by the equation v(t)=1/6t^3-3t^2+16t, where t is time in minutes (0<t<10) and v(t) is velocity in miles per hour. Assuming that his velocity increases when he goes downhill and decreases when her goes uphill, within the first 10 minutes of his ride during what time interval is her going uphill?
between 4 and 8 minutes
f'(x)= limit as h->0 tan(x-h)-tan(x)/h
f(x)=tan(x)
Which ofthese statements is another way to describe a derivative
the derivative is the slope of a function at a point the derivative is the slope of the tangent line at a point the derivative at x=a is limit h->0 f(x+h)-f(x)/h the derivative at x=a is limit x->a f(x)-f(a)/x-a the derivative is the instantaneous rate of change
a critical point of the function f(x)=x+1/x^2-1 is found at x=1. what does this reveal about the function at the x-value?
the function has a vertical asymptote at x=1
what is dy/dx if y=tan^-1(cos(3x))
-3sin(3x)/1+cos^2(3x)
limit as x->-2 x^2-4/x+2
-4
where is f(x)=x+5/x&2-2x-35 discountinuous?
-5,7
limit as x->1 x^2+8x-9/x^2+5x-6
1.429
what does f'(2) equal if f(x)=sec^-1(x^2)
1/15^1/2
the position of the USS Enterprise going through space is described by the function s(t)=ln(3t+2T^2 as it leaves the space station. when does it start to accelerate?
1/2 seconds after leaving the space station
What is the instantaneous rate of change of y=x^1/2 at x=2
1/2(2^1/2)
Given that f(x)=3x+3 and f(0)=3, if g is the inverse of f, what is the value of g'(3)
1/3
limit as x->0 sin(x)/3xe^x
1/3
limit as x->-3 x^2+3x-1/x-2
1/5
find limit as x->0 log3(5+h)-log3(5)/h
1/5ln(3)
given that f(x)=3x^2+2 and f(1)=5, if g is the inverse of f, what is the value of g'(5)
1/6
given that f9x)=(2x-3)^2 and f(1)=-1, if g is the inverse of f, what is the value of g'(-1)?
1/6
limit as x->3 (x+6)^1/2-3/x-3
1/6
f'(3) f(x)=x^2-1/x
10/9
find f^(3)(64) given f(x)=x^3(x^1/2) is the third derivative of f(x)
105
find f'(x) given f(x)=5x^2-6x^(2/3)
10x-4/x^1/3
carlos was driving down the road that had a 40 miles per hour speed limit. v(t)=1/40(-0l064t^3+4t^2) how many miles per hour over the speed limit was carlos when he was driving at his maximum velocity?
18 mph
What is the average rate of change of y with respect to x over the interval [-3,5] for the function y=2x+1?
2
f(x)=1 g(x)=1 limit->c f(x)+g(x)/g(x)=?
2
find the instantaneous rate of change of y=x^2+2x-5 at x=0
2
given the function f(x)=4ln(1+x^2-4tan^-1(x), what is the slope of the function at x=3?
2
limit as x->0 sin(x)+x/x
2
limit as x->4- |2x|/x
2
Given that f(x)=3-^1/2-4 and f(1)=-1, if g is the inverse of f, what is the value of g'(-1)
2/3
if f(x)=tan x, then f''(x)=
2sec^2x tanx
given x^2+3x-1, use the definition of a derivative to find.. Fill in the blanks
2x+3
Gievn that f'(x)= limit h->0 (x+h)^2-2*(x+h)-(x^2-2x)/h what is f(3)
3
if f(x)=2x+10+ln(x),then f'(1)=
3
if f(x)=2x+6+ln(x), the f'(1)=
3
limit as h->0 (3+h)^1/2-(3)^1/2/h represents the derivative of f(x)=x^1/2 at x=a what is a
3
f(x)=x^3/4 find f'(x)
3/4(x^1/4)
if f(x)=5x+3-ln(x), then f'(1)=
4
y=2x-3/x^2, dy/dx x=1
4
f(x)=2, g(x)=1, h(x)=1 limit as x->d 2f(x)/h(x)+4g(x)=?
8
if f(x)=7x+7+ln(x), then f'(1)=
8
what is f''(x) given f(x)=tan(2x+5)
8sec^2(2x+5)tan(2x+5)
x=-1, (uv)
9
Let f be a function that is continuous on the closed interval [4,14] given that f(4)=4 and f(14)=10, which of the following statements is guaranteed by the intermediate value theorem?
F(x)=7 has at least one solution in the open interval (4,14)
1.4
continuous discontinuous graphs
let f,h, and h be differential functions. which of the following is the derivative of f(x)*g(h(x))
f'(x)*g(h(x))+f(x)*g'(h(x))*h'(x)
if f(x)=x^2e^(1/x) find f'(x)
f'(x)=e^(1/x)(2x-1)
Limit as x->2+ 5x^2/3x+6
infinity
limit as ->1+ (4/x-1-2/lnx)
infinity
limit as x->-3+ x^2/4x+12
infinity
the graph of the function f is shown above. at point e the derivative of f(x)... at point c
is positive and decreasing is negative and increasing
given f(x)=x^1/2+5, find an equation of the tangent line at the point x=4
y-7=1/4(x-4)
let f(x) be the function defined by f(x)=x^3-27x+142. on which of the following intervals is f(x) decreasing? f(x)=x^3-27x+204
(-3,3) (-3,3)
what is the largest set on which f'(x)<0
(-5,-4)U(-2,1)
f(x)=x^3-192x+104. on which of the following intervals is f(x) decreasing
(-8,8)
what are the critical points for the function f(x)=8(x^1/2)-x
(0,0),(16,16)
At what point on the graph of y=1/4e^(4x-3) is the tangent line parallel to the line y=ex+10
(1,1/4e)
a curve is described by the equation x^3/2/y=1. at what point on the curve is the slope equal to 3?
(4,8)
if f(x)=5^2x^3 then f'(x)=
(5^2x^3)(ln(5))(6x^2)
using implicit differentiation y=x^2/x+2
(y+2)^2/y^2+4y
using implicit differentiation, determine the derivative of the inverse of the following function: f(X)=4/x^2-1
-(y^2-1)^2/8y
Given g(x)=1/4x, find the average rate of change of g(x) over the interval [5,9]
-0.006
Given g(x)=1/5x, find the instantaneous rate of change of g(x)=-5
-0.008
Given g(x)=1/5x, find the average rate of change of g(x) over the interval [3,7]
-0.010
Limit as x->0 sin(x)/x^2-x
-1
if f(x)=(5-x)^2/2, then f'(3)=
-1
limit as h->0 cos(pi/2+h)-cos(pi/2)/h=
-1
limit as h->0 cos(pi/2+h)=cos(pi/2)/h
-1
x=9, (u+4v) version 5
-1
limit as x->-3 x^2+2x-1/x-9
-1/6
if f(x)=ln(x), then f''(x)=
-1/x^2
let h(x)=f(x)/g(x))^2. use the table below to find h'(2) version 2
-16
f(x)=sin(x^4)/x^5. identify the correct values in tables ->0+ ->0-
-1=-1, -0.1=-10, -0.01=-100,-0.001=-1000, 0.001=1000, 0.01=100, 0.1=10, 1=1 infinity for both
f(x)=tan(x^2)/x^2 Identify the correct values for each missing part in the table.
-1=1.5574,-0.5=1.0214,-0.2=1.0005, -0.1=1.0,0.1=1.0,0.2=1.0005,0.5=1.0214, 1=1.5574 ->0=1 check 1.1 version5
given y=2/x, use the definition of the derivative to find x=1
-2
where is f(x)=x+2/x^2-4x-12 discountinuous?
-2,6
3u/v, x=14
-2.76
let g(t)=e^2t+2/3ke^k^2t, where k is a constant. for what value of k does g have a critical point?
-2/3
for what value of k is f continuous at x=-5 5x^2+29x+20/x+5 x doesn't=-5 k=-5
-21
what is the absolute minimum of the function f(x)=x^3-3x^2-9x on the interval[-2,5]
-27
given the equation x=(3cos(y)^1/2, find the derivative of this equation with respect to x
-2x/(9-x^4)^1/2
limit as x->2 x^2-x-2/x^2-5x+6
-3
for what value of k is f continuous at x=-3 2x^2+8x+6/x+3 x doesn't=-3 k=-3
-4
find the value of the following derivative at x=11 version 5 (u+6v)
-43
the second derivative of f(x) is shown above. for which values of x is f(x) concave down on the interval (-4,2)
-4<x<-3 and -1<x<1
given the derivative of a function f'(x)=x-1/x^2-3x-40 at what x-values are the critical points located that represent vertical asymptotes of the function f? f'(x)=x-1/x^2-3x-10
-5,8 -2,5
a weight resting on a spring is compressed 6 units down from its resting position s=0 and released at time t=0 the function that describes its position is s(t)=-6cost. what is it acceleration at time t=10?
-5.03
limit as x->0 sin-5x/8x sin5x/2x
-5/8 5/2
given that u(1)=5, u'(1)=1,v(1)=-3, and v'(1)=-6 find the value of the following derivative at x=1 3u-4v+vu
-6
limit as x->infinity 6x^2-3x/9x-x^2
-6
what values of b would make the function continuous given f(x)= 5|x+8|+5 x<b -x+9 x>b
-6,-11
find f''(4) given f(x)=4(x^2/3)-5x^2
-8.5
-3x+14 x<4 3x^2-2x-43 x>4 use the equation below to answer the following question
->4-=2 ->4+=-3 ->4=DNE
-4x+18 x<4 4x^2-5x-45 x>4
->4-=2 ->4=DNE ->4+=-1
limit as x->c f(x)/g(x)=limit x->c f'(x)/g'(x) according to l'hopital's rule, which of the following conditions must exist?
->c f(x)=infinity ->c g(x)=infinity ->c f(x)=0 ->g(x)=0
find d^2y/dx^2 when y=ln(sin(x))
-csc^2(x)
limit as x->3 sin(pix)/2x^2-10x+12
-pi/2
f(x)=x^x. identify the correct values for each missing part in the table. limit->0+
.1=.7943,0.1=.9550,0.001=.9931,0.0001=.9990 check 1.1 version 6 1.0000
Limit as x-> infinity 6x^5+25x^2-2/3x^7-x^2+2x
0
find dy/dx given that y=(pi)^1/3
0
limit as x->0 sin^2(x)/x
0
limit as x->infinity cos(5x)/x
0
what is f'(x) for f(X)=csc^-1(5x^2)+sec^-1(5x^2)
0
f(x)=x-x^3+2/x^4+3x^2-2x+10 what is the end behavior of f(x) as x->-infinity f(x) as x-> infinity horizontal asymptotes
0 0 0
Given f(x)=(3x)^1/2, find the instantaneous rate of change of f(x) at x=16
0.217
Given f(x)=(4x)^1/2, find the instantaneous rate of change of f(x) at x=7
0.378
given f(x)=(7x)^1/2, find the instantaneous rate of change f(x) at x=10
0.418
Given f(x)=(7x)^1/2, find the average rate of change of f(x) over the interval [5,11]
0.476
a vehicle devloped by BYU engineers can get 1700 MPG, however the vehicle cannot travel very fast. the graph below represents the speed of the vehicle over 12 seconds. what is the largest set on which the vehicle's speed is increasing?
0<t<4 and8<t<12
where does the derivative of cos^-1(2x^1/2) exist?
0<x<1/4
Limit as x-> infinity (8x^3)^1/3/2x
1
What is f''(pi/3) given f(x)=cos^2x
1
a hyperbola is described by the equation (y-4)^2/8-(x-1)^2/4=1. What is the slope of the hyperbola at (3,8)
1
1.2
1.2
a soda company is trying to cut down on material costs for their drink. their drink hold 14 in.^3 of liquid and come in the shape of a cylinder. what is the radius that will give the least amount of surface area for the dink containers?
1.306in
limit as x->3 x^2+6x-27/x^2+3x-18
1.333
let d(t) be the distance in miles a train has traveled in t hours. what is the velocity equation for a train whose distance equation is represented by the following equation: d(t)=t^1/2-3lnt+4t
1/(2t^1/2)-3/t+4
using implicit differentiation, determine the derivative of the inverse of the following function at the point (e,e) y=xln(x)
1/2
limit as x-> infinity x^3+8x^2-4x/8x^3+6x^2+x
1/8
using implicit differentiation y=3x^3+2
1/9y^2
given that f(x)=lnx/x+1, what is the absolute maximum value of f?
1/e+1
let g(t)=e^kt-t, where k is constant. for what value of t does g have a critical point?
1/kln(1/k)
what is the acceleration equation of a particle that has the following distance equation? x(t)=tlnt+1/3t^3
1/t+2t
if f(x)=log3(8x) then f'(x)=
1/xln(3)
let h(x)=f(f(x)-g(x)). Use the table below to find h'(2)
10
limit as h->0 (10+h)^1/2-(10)^1/2/h f(x)=(x)^1/2 x=a what is a?
10
for what values of x does the function f(x)=x^3-7x^2+240x+8 have a horizontal tangent line?
10,8
a bungee jumper leaps off a bridge 80 feet above the ground using a 55-foot long bungee cord. her height as a function of time: h(t)=60 sin(t+1)/(t+1)^3/4+30 what is the highest elevation the bungee jumper achieves after the initial descent?
43 feet
find the derivative of sin^-1(1/2e^4x)
4e^4x/(4-e^8x)^1/2
the position in feet of a particle is given: x(t)=t^3-4t^2+6 at what time t>0 will the velocity of the particle reach 35 feet per second?
5 seconds
a bottle rocket is shot directly upward into the air at an initial velocity V0 of 80 feet per second. given the below equation for height h(in feet) at time t(in seconds), what is the maximum height that the bottle rocket achieves before coming back down? h(t)=-32t^2-V0t
50 feet
given that f(x)=(2x+1)^1/2 and f(2)=5^1/2, if g is the inverse of f, what is the value of g'(5^1/2)
5^1/2
-2x+c 2<1 x^3-4x+7 x>1 for what value of c will lim->1 f(x) exist?
6
let g(t)=e^k^4t-79ke^k^4t, where k is a constant. for what value of k does g have a critical point?
7/9
find the value of k that will make the function continuous everywhere 8x+k x<8 kx^2-6 x>8
70/63
david who live in SF, CA wants to go see his friend edward in Portland, Oregon. trip of about 635 miles. leaves at 9:00am and travels at a speed that would normally get him there at 7:00pm. halfway slows down to 40 miles per hour. clears up 50 miles later. david arrives at edward's house at 7:00pm. what is the maximum speed guaranteed by the mean value theorem?
71 miles per hour
what is d^2y/dx^2 of the curve ln(y)=x^2 at x=3^1/2
=14e^3
given the equation-18/x-ln(y^6)=5, what is dy/dx (4,16e^2)
=3e^2
given the equation 32/x+ln(y^4)=3, what is dy/dx (8,64e^2)?
=8e^2
Limit as x->0 sin(x)/x^2
DNE
limit as x->-7 1/x+7
DNE
limit as x->0 cos x/x
DNE
limit as x->0 x-cos(x)/x
DNE
limit as x->0 cosx/x
DNE
given the function f(x)=e^x/-2-5x^7,f(x) is BLANK at x=-1 and BLANK at x=0
decreasing, decreasing
given the function f(x)=e^x/-7-3x^5, f(x) is BLANK at x=-1 and BLANK at x=0
decreasing, decreasing
determine if the function and the interval fit the requirements of the mean value theorem g(x) on the interval [-4,4]
do
what is dy/dx of cos(x)sin(y)=4
dy/dx=tan(x)tan(y)
find dy/dx if x^4x^2=y
dy/dx=x^4x^2(8xln(x)+4x)
let f be the function defined by f(x)=1/x-5 which of the following statements is true? f is differentiable at x=5 f is continuous at x=5 f has a vertical asymptote at x=5
f has a vertical asymptote at x=5
which of the follwing statements is true? f has a point of inflection at x=-4 f is concave up on (0,4) f is concave down on (-5,-3)
f is concave down on (-5,-3) version 5
which of the following statements is true? f is concave up on (-3,-1) f is concave down on (-5,2) f is concave down on (0,4)
f is concave down on (0,4) version 2
let f be the function defined by f(x)=ln|x| which of the following statements is true?
f is not differentiable and not continuous at x=0
let f be the function defined by f(x)=(|x+3|)^1/2 which of the following statements is true?
f is not differentiable at x=-3
the graph shown above is defined on the open interval (-5,4). on the interval 2<x<4, which of the following is true?
f' is positive
the graph f shown above is defined on the open interval (-5,4). on the interval -5<x<-3, which of the following is true?
f' is positive 4.1 version2 f' is positive where the slope is positive, f' is negative where the slope of f is negative
let f,g,and h be differential functions which of the following is the derivative of f(g(x)*h(x))?
f'(g(x)*h(x))*(h(x)*g'(x)+h'(x)*g(x))
let f,g, and h be differential functions. Which of the following is the derivative of f(g(x)/h(x))
f'(g(x)/h(x))*h(x)*g'(x)-h'(x)*g(x)/[h(x)]^2
where b is some constant, what is the best interpretation of b?
f(x) approaches b and x->a
which of the following functions has a slope of -13/12 t x=5/13
f(x)=cos^-1(x)
given that f'(x)= limit h->0 tan(x-h)-tan(x)/h what is f(x)?
f(x)=tan(x)
given that f'(x)= limit h->0 (x+h)^2/3-x^2/3/h
f(x)=x^2/3
f(x)=x^2/3-4 what is the inverse of the function?
f^-1*x)=(3x+12)^1/2
a box manufacturing company would like to minimize the amount of material it takes to make their boxes. widths of 1o cm and do not have any tops. given that the volume of the box is 110 cm^3 find length and height
height=2.345 cm length=4.690cm
1.3
horizontal asymptotes vertical asymptotes
which of the following statements must be true?
if a function is differentiable, then it is continuous
which of the following is f'(x) given that f(x)=2x-3
limit as h->0 (2(x+h)-3)-(2x-3)/h
which of the following limits meets the conditions of l'hopital's rule?
limit as x->tan(x)/5x limit as x->1+ sin(pix)/lnx
What is the slope of the equation 4x^2+y^2=2xy^2, at (1,2)
m=0
a critical point for the function f(x) is found at x=5. it is determined that this critical point is a local minimum because f' goes from BLANK to BLANK and f'' is BLANK
negative, positive, positive
a critical point for the function f(x)=x+7/x^2-49 is found at x-7. what does this reveal about the function at the x-value?
the function has a vertical asymptote at x=7
where are the local extrema?
the zeros
what are the horizontal asymptotes? 4x^5-2x+2/x-2x^3 end behavior as x->infinity
there are no horizontal asymptotes -infinity
2.1
version 2:represents the derivative of this graph
At what value of x if f(x) not continuous if f(x)= 4|x+4|-5 x<0 (x+16)^1/2 x>0
x+0
where are the critical points of the function f(x)=1/48x^3-9x
x=-12,x=12
what are the critical points of the function f(x)=1/27x^3-4x
x=-6, x=6
at what value of x is f(x) not continuous if f(x)= 6|x+6|-8 x<0 (x+36)^1/2 x>0
x=0
at what value of x is not continuous 6|x+6|-8 x<0 (x+36)^1/2 x>0
x=0
given the cure xy^2-x^2y=6, where is the slope undefined?
x=0 and x=2y
for what values of x does the functions f(x)=ln(x^2+3) have the property that line tangent to the curve has a slope of 1/2
x=1 and x=3
at what x-value is the absolute maximum of the factor f(x)=ln(sin^2x) on the interval [0,pi]
x=pi/2
where is the point of inflection on the interval [0,pi/2] for the function f(x)=5cos^2x
x=pi/4
what is the equation for the slope of the ellipse x^2/a^2+y^2/b^2=1 at (x1,y1)
y'=-b^2x1/a^2y1
given f(x)=x^2-2x-1, find an equation of the line perpendicular to the tangent line at the point x=2
y+1=-1/2(x-2)
Identify the correct value or symbol for each blank so that the equation represents the tangent line at x=pi/4 for f(x) given f(U)=3u^2, u=tanx.
y-3=12(x-pi/4)
which of the following is an equation of a line that is tangent to the curve x^2+y^2=25 atx=4?
y=-4/3x+25/3 and y=4/3-25/3
which of the following equations represents the tangent line to the function f(x)=csc^-1(x^1/2) at x=2?
y=-pi/4=-1/4(x-2)
f(x)=3x^2+2x-5/x^2+9 what are the horizontal asymptotes?
y=3
the line y=2 is a horizontal asymptote to the graph of which of the following functions?
y=4+8x^4/4x^4-7
the line y=4 is a horizontal asymptote to the graph of which of the following functions? y=5
y=9x+12x^4/3x^4-2 y=7x+30x^4/6x^4-3
fill in table for y=e^3x
y=e^3x,'=3e^3x,''=9e^3x,'''=27e^3x,''''=81e^3x
limit as x->-infinity 6x^2+4x-2/2x^2-x
3
the graph of f' is shown above. which of the following statements is/are true? 1: f is concave up on (-5,-2) 2: f is concave down on (-2,0) 3: f is concave down on (2,4)
3
x=-5, (u/v)
3
what is the end behavior as x->-infinity 3x^2+2x-5/x^2+9 as x->infinity
3 3
given the equation of the velocity of a boat as v(t)=-2t^2+16t+8, at what time t>0 will the boat reach an acceleration of 4 feet per second?
3 sec
limit as x->-2 x&2+3x-1/x-9
3/11
what value of b would make the function continuous given 6x^2-36x+96 x<b 2x^2-4x+32 x>b
4
find dy/dx y=(ln(x)+x^2)^4
4(ln(x)+x^2)^3(1/x+2x)
find dy/dx given y=(ln(x)+x^2)^4
4(ln(x)+x^2)^3(1/x+2x)
what values of b would make the function continuous given 4x^2-11x+48 x<b 3x^2-4x+36 x>b
4,3
What values of b would make the function f(x) continuous given 4x^2-14x+120 x<b 3x^2-4x+96 x>b
4,6
below is a graph of the derivative of a function. how many points of inflection does the function have?
4.2 version 1 7
which of the following functions does the graph represent?
4.3 version 1 1/3x^3-2x^2+3x
Below is the average high temperature for each month in Salt Lake City, UT, USA. 2014-10-03 What is the average rate of change from January to July?
4.833
limit as x->-1 x^2+4x-1/x-6
4/7
dy/dx given that y=(2x^3-5)(4x^2+2)
40x^4+12x^2-40x
on what interval does the intermediate value theorem prove the equation x^2+11x+24=0 have at least one solution?
[-4,0]
which of the following derivatives is false?
all are true 3.1 version 7
For what values of x ifs the function f(x)=(|x^2-49|)^1/2 continuous and differentiable?
all real numbers except x=-7 and x=7
the function f(x) has a critical point at x=3. this count mean that
any of the above 4.1 version 5
Below if the average high temperature for each month in Buenos Aires, Argentina. 2014-10-03 What is the average rate of change from January to July (c degrees)
check 1.5 version3 -2.333
Match each of the inverse function to its derivative
check pics
if f(x)=xcosx, then f'(x)=
cosx-xsinx
f'(x)=-cosx/sin^2x f(x)=
cscx
