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 36E
To determine

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

Expert Solution

Answer to Problem 36E

  12 is limit and derivative of the function limxπ/4tanx1xπ/4 .

Explanation of Solution

Given: limxπ/4tanx1xπ/4

Concept used:

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

limxπ/4tanx1xπ/4 be a given function.

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

  limxπ/4tanx1xπ/4

  f'(a)=limh0f(a+h)f(a)h

  f'(a)=limxπ/4tanx1xπ/4[00]

Apply L.Hospital rule

  f'(a)=limxπ/4tanx1xπ/4=limxπ/4sec2x=(secπ/4)2=12

Hence, 12 is limit and derivative of the function limxπ/4tanx1xπ/4 .

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