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Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

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BuyFindarrow_forward

Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

Finding Partial Derivatives In Exercises 11-40, find both first partial derivatives.

h ( x , y ) = e ( x 2 + y 2 )

To determine

To calculate: The partial derivative for the function h(x,y)=e(x2+y2) with respect to x and y.

Explanation

Given:

The function, h(x,y)=e(x2+y2).

Formula used:

The partial derivative of the function h(x,y) with respect to x is,

xh(x,y)=hx(x,y)=zx=zx

The partial derivative of the function h(x,y) with respect to y is,

yh(x,y)=hy(x,y)=zy=zy

The derivative of,

ddxef(x)=ef(x).f'(x)

Calculation:

Consider,

z=h(x,y)=e(x2+y2)

Now,

Differentiate the function with respect to x as follows,

hx(x,y)=x(e(x2+y2))=e(x2+y2)x((

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Chapter 13 Solutions

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