Implicit differentiation

Practice Questions

AP Calculus AB › Implicit differentiation

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1

Use implicit differentiation to calculate the equation of the line tangent to the equation $2x^{2}+y^{2}=9$ at the point (2,1).

2

Given that , find the derivative of the function

$y=\sin(xy)+y^3$

3

Given that , compute the derivative of the following function

$y=6\sin(xy)+e^y$

4

Given that , find the derivative of the function

$y=\sin(xy)+\tan(y^2)$

5

Find $\frac{\mathrm{d} z}{\mathrm{d} x}$ , where is a function of x.

6

Find $\frac{\mathrm{d} y}{\mathrm{d} x}$ :

7

Given that , find the derivative of the function

$y=\tan(y^2)+xy^5$

8

Given that , compute the derivative of the following function:

$y=xy^2+4\sin(y)$

9

Given that , find the derivative of the following function:

$y=y\cos(x^3)$

10

Given that , find the derivative of the function

$y=2xy^3+x\cos(y)$

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