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If f(x) = x sinx, then f" π2 is equal to ______. - Mathematics

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Question

If f(x) = x sinx, then f" `pi/2` is equal to ______.

Options

  • 0

  • 1

  • –1

  • `1/2`

MCQ
Fill in the Blanks

Solution

If f(x) = x sinx, then f" `pi/2` is equal to 1.

Explanation:

As f′(x) = x cosx + sinx

So, f' `pi/2 = pi/2 cos  pi/2 + sin  pi/2` = 1

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Chapter 13: Limits and Derivatives - Solved Examples [Page 239]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 13 Limits and Derivatives
Solved Examples | Q 28 | Page 239

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