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The derivative of sinxxsin-1(2x1+x2) with respect to tanxxtan-1(2x1-x2) is ____________. -

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Question

The derivative of `"sin"^-1 ((2"x")/(1 + "x"^2))` with respect to `"tan"^-1 ((2"x")/(1 - "x"^2))` is ____________.

Options

  • 0

  • 1

  • `1/(1 - "x"^2)`

  • `1/(1 + "x"^2)`

MCQ
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Solution

The derivative of `"sin"^-1 ((2"x")/(1 + "x"^2))` with respect to `"tan"^-1 ((2"x")/(1 - "x"^2))` is 1.

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