Applications of Partial Derivatives

Practice Questions

Calculus 3 › Applications of Partial Derivatives

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10 of 266

1

Find of the following function:

$f(x,y,z)=\sec(xyz^2)$

2

Find the equation of the tangent plane to the following function at :

$f(x,y,z)=xy\sin(x)+z$

3

Find the equation to the tangent plane to the following function at the point :

$f(x, y, z)=\ln(xy^2z^3)$

4

Find the gradient vector for the following function:

5

Find of the following function:

6

Find $\bigtriangledown f$ of the following function:

$f(x, y, z)=xz^3\cos(y)$

7

Find of the following function:

$f(x,y,z)=\sec(xyz^2)$

8

Find the equation to the tangent plane to the following function at the point :

$f(x, y, z)=\ln(xy^2z^3)$

9

Find the equation of the tangent plane to the following function at :

$f(x,y,z)=xy\sin(x)+z$

10

Find the gradient vector of the following function:

$f(x,y,z)=x+y\cos(z^2)+z^3$

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