   Chapter 7.6, Problem 8SWU ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# In Exercises 7-10, find the first partial derivatives. f ( x , y ) = 25 ( x y + y 2 ) 2

To determine

To calculate: The first partial derivatives of the function f(x,y)=25(xy+y2)2.

Explanation

Given Information:

The provided function is f(x,y)=25(xy+y2)2.

Formula used:

The first partial derivatives of the function z=f(x,y) are,

zx=x[f(x,y)]zx=fx(x,y)

And,

zy=y[f(x,y)]zy=fy(x,y)

Calculation:

Consider the function,

f(x,y)=25(xy+y2)2

The first partial derivatives of the function are,

x[f(x,y)]=x[25(xy+y2)2]fx=25x(xy+<

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