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If u = sin-1(2x1+x2) and v = tan-1(2x1-x2), then dudvdudv is ______. - Mathematics

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Question

If u = `sin^-1 ((2x)/(1 + x^2))` and v = `tan^-1 ((2x)/(1 - x^2))`, then `"du"/"dv"` is ______.

Options

  • `1/2`

  • x

  • `(1 - x^2)/(1 + x^2)`

  • 1

MCQ
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Solution

If u = `sin^-1 ((2x)/(1 + x^2))` and v = `tan^-1 ((2x)/(1 - x^2))`, then `"du"/"dv"` is 1.

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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 33 | Page 105

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