BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 3.4, Problem 8E
To determine

Find the derivative of the given function.

Expert Solution

Answer to Problem 8E

The derivative of the given function is F'(x)=100(4xx2)99(42x) .

Explanation of Solution

Given:

The given function is F(x)=(4xx2)100 .

Calculation:

Use quotient rule.

  F(x)=(4xx2)100

Apply chain rule.

  df(a)dx=dfdadadx

Let f=a100,a=4xx2

  ddxF(x)=dda(a100)ddx(4xx2)

Use power rule.

  ddx(xn)=nxn1

  F'(x)=100a99(42x)

Substitute the value of a=4xx2 .

  F'(x)=100(4xx2)99(42x)

Hence the derivativeof the given function is F'(x)=100(4xx2)99(42x) .

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