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The derivative of cosxxcos-1(1-x21+x2) with respect to cotxxxcot-1(1-3x23x-x3) is ____________. -

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Question

The derivative of `"cos"^-1 ((1 - "x"^2)/(1 + "x"^2))` with respect to `"cot"^-1 ((1 - 3"x"^2)/(3"x" - "x"^3))` is ____________.

Options

  • 1

  • `3/2`

  • `2/3`

  • `1/2`

MCQ
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Solution

The derivative of `"cos"^-1 ((1 - "x"^2)/(1 + "x"^2))` with respect to `"cot"^-1 ((1 - 3"x"^2)/(3"x" - "x"^3))` is `underline(2/3)`.

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