Calc given 10 MC Questions

An equation of the line tangent to the graph of f(x)=x(1-2x)^3 at the point (1,-1) is A y=-7x+6 B y=-6x+5 C y=-2x D y=2x-3 E y=7x-8

A y=-7x+6

line tangent to the graph of y=e^-x / x+1 at x=1 A -1/e B -3/4e C-1/4e D 1/4e E 1/e

B -3/4e

line tangent to the graph of y=ln(2x) at the point where x=4? A 1/8 B 1/4 C /2 D 3/4 E 4

B 1/4

line tangent to the graph of y=2x+3 / 3x-2 at the point (1,5) is A 13x-y=8 B 13x+y=18 C x-13 y=64 D x+13 y=66 E -2x+3y=13

B 13x+y=18

An equation of the line tangent to the graph of y=x+cos x at the point (0,1) is A y=2x+1 B y= x+1 C y=x D y=x-1 E y=0

B y= x+1

function be given by f(x)= (2x-1)^5 (x+1). which of the following is an equation for the line tangent to the graph of f at the point where x=1 A y=21x+2 B y=21x-19 C y=11x-9 D y=10x+2 E y=10x-8

B y=21x-19

The function f is defined by f(x)= x/x+2. What points (x,y) on the graph of f have the property that the line tangent to f at (x,y) has slope 1/2? A 0,0 B 1/2, 1/5 C 0,0 and -4,2 D 0,0 and 4, 2/3 E no such points

C 0,0 and -4,2

f(x)4x^3 -5x+3. Which of the following is an equation of the line tangent to the graph of f at the point where x=-1 A y=7x-3 B y=7x+7 C y=7x+11 D y=-5x-1 E y=-5x-5

C y=7x+11

Let f be a differentiable function w f(2)=3 and f'(2)=-5, and let g be the function defined by g(x)=xf(x). Which of the following is an equation of the line tangent to the graph of g at the point where x=2 A y=3x B y-3= -5(x-2) C y-6=-5(x-2) D y-6=-7(x-2) E y-6=-10(x-2)

D y-6=-7(x-2)

line tangent to the graph of f(X) x^4 +2x^2 at the point where f'(x)=1 A y=8x-5 B y=x+7 C y=x+0.763 D y=x-0.122 E y=x-2.146

D y=x-0.122