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If y = tan^(-1) x + cot^(-1) x + sec^(-...

If ` y = tan^(-1) x + cot^(-1) x + sec^(-1) + "cosec"^(-1) x . "then" (dy)/(dx)` is equal to

A

`(x^(2) -1)/(x^(2) +1)`

B

`pi`

C

0

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
` y = tan^(-1) x + cot^(-1) x + sec^(-1) x + "cosec"^(-1) x `
` = (pi)/(2) + (pi)/(2) = pi rArr (dy)/(dx) = 0 `
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