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 2.6, Problem 35E
To determine

To state:The limit and the derivative of the given function at some numbers a .

Expert Solution

Answer to Problem 35E

  32log2 is limit and derivative of the function limx52x32x5 .

Explanation of Solution

Given: limx52x32x5

Concept used:

Definition of derivative: f'(a)=limh0f(a+h)f(a)h

limx52x32x5 be a given function.

It has to find derivative of the function at some numbers a .

  limx52x32x5

  f'(a)=limh0f(a+h)f(a)h

  f'(a)=limx52x32x5[00]

Apply L.Hospital rule

  f'(a)=limx52xlog2=32log2

Hence, 32log2 is limit and derivative of the function limx52x32x5 .

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