AP Calculus Derivatives Review

If f is defined below, then f'\left(-1\right) is

The \lim_{h\to0}\frac{\tan3\left(x+h\right)-\tan\left(3x\right)}{h} is

If y=\arctan\left(\cos x\right), then \frac{dy}{dx}=

Using the table and h\left(x\right)=\left(2f\left(x\right)+3\right)\left(1+g\left(x\right)\right) find h'\left(1\right)

If f\left(x\right)=\frac{x}{x+2}, which points \left(x,y\right) have tangents with slope \frac{1}{2}

Let f\left(x\right)=x^3+x. If g\left(x\right)=f^{-1}\left(x\right) and g\left(2\right)=1, what is g'\left(2\right)?

If f\left(x\right)=e^{\frac{1}{x}} then f'\left(x\right)=

What is the average rate of change on y=\cos\left(2x\right) on \left[0,\frac{\pi}{2}\right]

If f\left(x\right)=1+x^{\frac{2}{3}}, which of the following is NOT true?

y=\sin x\cos x, then at x=\frac{\pi}{3}, \frac{dy}{dx}=

If \tan\left(xy\right)=x, then \frac{dy}{dx}=

Given the graph of f, g\left(x\right)=2x+1 and h\left(x\right)=f\left(g\left(x\right)\right), what is h'\left(1\right)