Differentials

Practice Questions

Calculus 3 › Differentials

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1

Find the total derivative of the following function:

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

2

If $z=f(x,y)=x^6+3xy-\sin(xy)$ , calculate the total differential .

3

Compute the differentials for the following function.

$z=e^{x^2+4y^2}\sin(y)$

4

Find the differential of the following function:

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

5

Find the differential of the following function:

6

Find the total differential , , of the function

7

Find the differential of the function:

8

Find the differential of the following function:

$f(x,y,z)=7xy+6x^2y^3e^{z^2}$

9

Compute the differentials for the following function.

$z=e^{x^2+4y^2}\sin(y)$

10

Find the differential of the following function:

$h=z\cos(xyz)+y^2\ln(xz^2)$

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