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If y = sinxxsecxxxthendydxy = sin-1(x-1x+1)+sec-1(x+1x-1),x>0,then dydx is ____________. -

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Question

If `"y = sin"^-1 ((sqrt"x" - 1)/(sqrt"x" + 1)) + "sec"^-1 ((sqrt"x" + 1)/(sqrt"x" - 1)), "x" > 0, "then"  "dy"/"dx"` is ____________.

Options

  • 1

  • 0

  • `pi/2`

  • None of these

MCQ
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Solution

If `"y = sin"^-1 ((sqrt"x" - 1)/(sqrt"x" + 1)) + "sec"^-1 ((sqrt"x" + 1)/(sqrt"x" - 1)), "x" > 0, "then"  "dy"/"dx"` is 0.

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