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

Let `g(x)` be the inverse of an invertible function `f(x)` which is differentiable at `x=c` . Then `g^(prime)(f(x))` equal. `f^(prime)(c)` (b) `1/(f^(prime)(c))` (c) `f(c)` (d) none of these

A

`f'(c )`

B

`(1)/(f'(c ))`

C

`f (c )`

D

None of these

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The correct Answer is:
B
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