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 3.3, Problem 11E
To determine

Find the differentiate form of the given function.

Expert Solution

Answer to Problem 11E

The differentiate form of the given function is f'(θ)=secθtanθ(1+secθ)2 .

Explanation of Solution

Given:

The given function is f(θ)=secθ1+secθ .

Calculation:

Use quotient rule.

  (fg)'=gf'fg'g2

  f(θ)=secθ1+secθddθf(θ)=(1+secθ)ddθ(secθ)secθddθ(1+secθ)(1+secθ)2

Use derivative rule ddx(secx)=secxtanx .

  f'(θ)=(1+secθ)(secθtanθ)secθ(0+secθtanθ)(1+secθ)2f'(θ)=secθtanθ+sec2θtanθsec2θtanθ(1+secθ)2f'(θ)=secθtanθ(1+secθ)2

Hence the differentiate form of the given function is f'(θ)=secθtanθ(1+secθ)2 .

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!