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Let g (x) be the inverse of an invertib...

Let g (x) be the inverse of an invertible function f(x) , which is differentiable for all real x, then g'' (f(x)) equals a)`- (f'' (x))/( ( f' (x))^(3))` b)`(f' (x) f'' (x) - ( f' (x))^(3))/(f'(x))`c)`(f' (x) f''(x) - (f'(x))^(2))/((f' (x))^(2))`d)None of these

A

`- (f'' (x))/( ( f' (x))^(3))`

B

`(f' (x) f'' (x) - ( f' (x))^(3))/(f'(x))`

C

`(f' (x) f''(x) - (f'(x))^(2))/((f' (x))^(2))`

D

None of these

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The correct Answer is:
A
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