Derivative rules for sums, products, and quotients of functions

Practice Questions

AP Calculus AB › Derivative rules for sums, products, and quotients of functions

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1

Find f'(x) for the following f(x).

$f(x)=2\cdot sin(x)\cdot e^{x}$

2

$\begin{align*}&\text{Calculate the derivative of the function}\&-\frac{(114cos(19x))}{x^{20}}\end{align*}$

3

Differentiate the function:

$y=x^2\sqrt{3x+1}$

4

Find the derivative of the function:

5

Find the derivative of the function

$f=\frac{e^x}{\cos{x}}$

6

Find the derivative of the following function:

7

Find the derivative.

$\sin (x)x^2$

8

Find the derivative of the function:

$h(x)=\frac{cos(x)}{sin^2(x)}$

9

$\begin{align*}&\text{Take the derivative with respect to }x\text{ of the function}\&y=-\frac{(380tan(17x))}{2^{(20x)}}\end{align*}$

10

Find the derivative of the function:

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