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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 6.CR, Problem 37CR

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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.

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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.