Explanation Given: The provided value is y = 1 + x 1 − x , d x d t = − 4 , x = 4 . Approach: Use the Quotient rule of derivative then substitute the provided value. Calculation: Consider the provided equation, y = 1 + x 1 − x First rationalize the above equation. y = 1 + x 1 − x ⋅ 1 + x 1 + x = ( 1 + x ) 2 1 2 − ( x ) 2 = 1 + x + 2 x 1 − x Differentiate above equation with respect to t . d d t ( y ) = d d t ( 1 + x + 2 x 1 − x ) = ( 1 − x ) d d t ( 1 + x + 2 x ) − ( 1 + x + 2 x ) d d t ( 1 − x ) ( 1 −

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ISBN: 9780321964038

Author: GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher: Pearson Addison Wesley,

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Chapter 6.CR, Problem 37CR

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The value of dy/dt with the help of respective provided value y=1+x1−x,dxdt=−4,x=4.

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Chapter 6.CR, Problem 36CR

Chapter 6.CR, Problem 38CR

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The value of d y / d t with the help of respective provided value y = 1 + x 1 − x , d x d t = − 4 , x = 4 .

Solution Summary: The author explains how to find the value of dy/dt with the help of respective provided value.

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To find:

The value of dy/dt with the help of respective provided value y=1+x1−x,dxdt=−4,x=4.

Want to see the full answer?

Chapter 6 Solutions

The value of d y / d t with the help of respective provided value y = 1 + x 1 − x , d x d t = − 4 , x = 4 .

Solution Summary: The author explains how to find the value of dy/dt with the help of respective provided value.

Concept explainers

Videos

To find: The value of dy/dt with the help of respective provided value y=1+x1−x,dxdt=−4,x=4.

Want to see the full answer?

Chapter 6 Solutions

To find:

The value of dy/dt with the help of respective provided value y=1+x1−x,dxdt=−4,x=4.