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Let g (x )=f ( x- sqrt( 1-x ^(2))) and f...

Let `g (x )=f ( x- sqrt( 1-x ^(2))) and f ' (x) =1-x ^(2) ` then `g'(x)` equal to:

A

`1-x ^(2)`

B

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

C

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

D

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

Text Solution

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The correct Answer is:
C
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VK JAISWAL ENGLISH-CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION-EXERCISE (SUBJECTIVE TYPE PROBLEMS)
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