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If y="sec"(tan^(-1)x), then (dy)/(dx) at...

If `y="sec"(tan^(-1)x),` then `(dy)/(dx)` at `x=1` is equal to: `1/(sqrt(2))` (b) `1/2` (c) 1 (d) `sqrt(2)`

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
d
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