chapter 3 true or false

an equation of the tangent line to the parabola y=x^2 at (-2,4) is y-4=2x(x+2)

false

d/dx (10^x) = x10^(x-1)

false

d/dx (ln 10) = 1/10

false

d/dx |x^2 +x| = |2x +1|

false

if f and g are differentiable then d/dx [f(x)g(x)] = f'(x)g'(x)

false

if y = e^2 then y'=2e

false

d/dx (tan^2x) = d/dx (sec^2x)

true

if f and g are differentiable then d/dx [f(g(x))] = f'(g(x))g'(x)

true

if f and g are differentiable then d/dx [f(x) + g(x)] =f'(x) + g'(x)

true

if g(x) = x^5 then lim g(x) - g(2)/ x-2 = 80 x-> 2

true

the derivative of a polynomial is polynomial

true

the derivative of a rational function is a rational function

true