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If y = sec-1(x+1x+1)+sin-1(x-1x+1), then dydxdydx is equal to ______.

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Question

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

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Solution

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

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Chapter 5: Continuity And Differentiability - Solved Examples [Page 106]

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NCERT Exemplar Mathematics Exemplar [English] Class 12
Chapter 5 Continuity And Differentiability
Solved Examples | Q 40 | Page 106
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