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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

Calculate y'.

7. y = t 4 1 t 4 + 1

To determine

To find: The derivative of y.

Explanation

Given:

The function is y=t41t4+1.

Derivative rule:

Quotient rule: ddx(fg)=gddx(f)fddx(g)(g)2.

Calculation:

Obtain the derivative y.

y=ddx(y)=ddx(t41t4+1)

Apply the quotient rule,

y=(t4+1)ddt(t41)(t41)ddt(t4+1)(t4+1)2=(t4+1)(4t410)(t41)(4t41+0)(t4+1)2=

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