Derivative Rules for Sums, Products, and Quotients

Practice Questions

AP Calculus BC › Derivative Rules for Sums, Products, and Quotients

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1

Find the value of the derivate of the given function at the point :

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

2

Compute the derivative:

$f(x)=2x^2\tan^{-1}(3x)+5\ln(10x)$

3

Suppose and are differentiable functions, and . Calculate the derivative of , at

4

Find dy/dx:

$y=\tan^{-1}(2x(x+1)^{10})$

5

What is the slope of at ?

6

If , find in terms of and .

7

$f(x)=x^2\tan^{-1}(3x^5)$

$\frac{dy}{dx}=?$

8

Given:

Find f'(x):

9

Find the derivative of the function

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

10

Evaluate the derivative of the function $y = x^2\cos(3x)$ .

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