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Which of the following functions is decreasing on (0,π2)? - Mathematics

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Question

Which of the following functions is decreasing on `(0, pi/2)`?

Options

  • sin2x

  • tanx

  • cosx

  • cos 3x

MCQ

Solution

cosx

Explanation:

Here, Let f x) = cos x

So, f'(x) = – sin x

f'(x) < 0 in `(0, pi/2)`

So f(x) = cos x is decreasing in `(0, pi/2)`

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Chapter 6: Application Of Derivatives - Exercise [Page 140]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 6 Application Of Derivatives
Exercise | Q 50 | Page 140

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