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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

State the Chain Rule for the case where z = f(x, y) and x and y arc functions of one variable. What if x and y are functions of two variables?

To determine

To state: The Chain Rule for the function z=f(x,y) where xandy are the functions of one variable. Also, state the Chain Rule for two variables.

Explanation

Chain Rule for one variable:

“Suppose that z=f(x,y) is a differentiable function of x and y , where x=g(t)andy=h(t) are both differentiable functions of t . Then, z is differentiable function of t and dzdt=zxdxdt+zydydt ”.

Chain Rule for two variable:

“Suppose that z=f(x,y) is a differentiable function of x and y , where x=g

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Chapter 14 Solutions

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