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Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550

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BuyFindarrow_forward

Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550
Textbook Problem

Find the first partial derivatives.

13. f(x, y) = (5y3 + 2x2y)8

To determine

To find: The first order partial derivatives of the function f(x,y)=(5y3+2x2y)8 .

Explanation

Formula used:

If z=f(x,y) , then the partial derivative functions are,

fx(x,y)=fx=xf(x,y)fy(x,y)=fy=yf(x,y)

Given:

The function is, f(x,y)=(5y3+2x2y)8 .

Calculation:

Obtain fx(x,y) .

Take the partial derivative of f(x,y) with respect to x.

fx(x,y)=x(5y3+2x2y)8=8(5y3+2x2y)7(0+4xy)=32xy(5y3+2x2y)7

Obtain fy(x,y)

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Chapter 14 Solutions

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