Derivatives of functions

Practice Questions

AP Calculus AB › Derivatives of functions

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1

Find the derivative of the following function:

$f(x)=\frac{x^2+3x+1}{x^4}$

2

Find the derivative.

$\sin (x)$

3

Find the function which gives the rate of change of f(x)

4

Find :

$f(x)=\frac{2x}{x}$

5

Find the derivative of the function:

$f(x)=\frac{x^4}{2}+x^2e^{\sin(x)}$

6

Find the derivative of the following function:

7

Find the derivative.

$\sin (2x)$

8

Find the first derivative of the following function:

$f=\alpha \sin (\beta^2x)e^{\gamma x}$ ,

where $\alpha, \beta, \gamma$ are all constants.

9

Find the derivative.

$\frac{x^2+3}{x^3}$

10

Given y(z), find y''(z).

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