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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Finding Partial Derivatives In Exercises 1-14, find the first partial derivatives. See

z   = y 2 e 2 x y

To determine

To calculate: The first partial derivatives for the function z=y2e2xy.

Explanation

Given information:

The provided function is z=y2e2xy.

Formula used:

Consider the function z=f(x,y) then for the value of zx consider y to be constant and differentiate with respect to x and the value of zy consider x to be constant and differentiate with respect to y.

Calculation:

Consider the provided function is,

z=y2e2xy

Partially derivative of the function z=y2e2xy with respect to x.

zx=x(y2e2xy)=y2x(e2xy)=y2(e2xy)(2y)=2y3e2xy

Partially derivative of the function z=y2e2xy with respect to y

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