   Chapter 8.4, Problem 81E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# True or False? In Exercises 81– 84, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.If y = ( 1 − cos   x ) 1 / 2 ,   then   y ' = 1 2 ( 1 − cos   x ) − 1 / 2 .

To determine

Whether the provided statement “if y=(1cosx)1/2, then y=12(1cosx)1/2” is True or False.

Explanation

Consider the function:

y=(1cosx)1/2

Differentiate the above function with respect to x.

y=12(1cosx)1/2ddx(1cosx)=12(1cosx)1/2(0+sinx)=12<

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