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Differential coefficient of sec (tan–1x) w.r.t. x is ______. - Mathematics

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Question

Differential coefficient of sec (tan–1x) w.r.t. x is ______.

Options

  • `x/sqrt(1 + x^2)`

  • `x/(1 + x^2)`

  • `xsqrt(1 + x^2)`

  • `1/sqrt(1 + x^2)`

MCQ
Fill in the Blanks

Solution

Differential coefficient of sec (tan–1x) w.r.t. x is `x/sqrt(1 + x^2)`.

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Chapter 5: Continuity And Differentiability - Solved Examples [Page 105]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 5 Continuity And Differentiability
Solved Examples | Q 32 | Page 105

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