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 3E
To determine

Find the differentiate form of the given function.

Expert Solution

Answer to Problem 3E

The differentiate form of the given function is f'(x)=cosx12csc2x .

Explanation of Solution

Given:

The given function is f(x)=sinx+12cotx .

Calculation:

Use power rule and derivative of the trigonometric function.

  ddx(sinx)=cosx and ddx(cotx)=csc2x

  f(x)=sinx+12cotxddxf(x)=ddx(sinx)+12ddx(cotx)f'(x)=cosx+12(csc2x)f'(x)=cosx12csc2x

Hence the differentiate form of the given function is f'(x)=cosx12csc2x .

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