Chain rule and implicit differentiation

Practice Questions

AP Calculus AB › Chain rule and implicit differentiation

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1

,

$g(x)=x^{3}$

and

$h(x)=7x^{2}+3x$

Find the derivative of

2

$f(x) = \cos (\sqrt{x^{2}- 2x} )$

Find .

3

Find the derivative of the function:

$h(x)=e^{2x^3}$

4

Find the derivative of .

5

Find the derivative of the function:

$r(s)=tan(s)-e^{-s}$

6

Calculate the derivative of .

7

Given the relation , find $\frac{dy}{dx}$ .

8

Find $\frac{\mathrm{d}y }{\mathrm{d} x}$ of the following equation:

9

Find the derivative of the following function:

.

10

Given the function $\small \small \small z(x)=\cos x^{12}$ , find its derivative.

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