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If y= tan ^(-1) ((x)/(1+ sqrt(1- x ^(2))...

If `y= tan ^(-1) ((x)/(1+ sqrt(1- x ^(2)))), |x|le 1, `then `(dy)/(dx) at ((1)/(2))` is:

A

(a)`(1)/(sqrt3)`

B

(b) 3

C

(c) `(sqrt3)/(2)`

D

(d)`(2)/(sqrt3)`

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The correct Answer is:
A
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VIKAS GUPTA (BLACK BOOK) ENGLISH-CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION-EXERCISE (SUBJECTIVE TYPE PROBLEMS)
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