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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

If z is defined implicitly as a function of x and y by an equation of the form F(x, y, z) = 0, how do you find ∂z/∂x and ∂z/∂y?

To determine

To find: The values of zxandzy if z is defined implicitly as a function of xandy by an equation of the form F(x,y,z)=0 .

Explanation

Given:

The function F(x,y,z)=0 and z is a implicit function of xandy .

Calculation:

The value of zx is,

zx=FxFz=FxFz

The value of z

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Chapter 14 Solutions

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