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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

g ( x , y ) = e x / y

To determine

To calculate: The first partial derivatives for the function g(x,y)=exy.

Explanation

Given information:

The provided function is g(x,y)=exy.

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,

g(x,y)=exy

Partially derivative of the function g(x,y)=exy with respect to x.

gx(x,y)=x(exy)=exy(1y)=1yexy

Partially derivative of the function g(x,y)=exy with respect to x

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