   Chapter 8.4, Problem 83E ### 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 = x   sin 2 x ,   then   y ' = 2 x   sin   x .

To determine

Whether the provided statement “if y=xsin2x, then y=2xsinx” is True or False.

Explanation

Consider the function:

y=xsin2x

Differentiate the above function with respect to x.

y=xddx(sin2x)+sin2xddx(x)=x(2sinxcosx)

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