Let f(x) be a polynomial in x . Then the...

Let `f(x)` be a polynomial in `x` . Then the second derivative of `f(e^x)wdotrdottdotxi s` `f^(e^x)dote^x+f^(prime)(e^x)` `f^(e^x)dote^(2x)+f^(prime)(e^x)dote^(2x)` `f^(e^x)e^(2x)` (d) `f^(e^x)dote^(2x)+f^(prime)(e^x)dote^x`

A

`f ''(e^(x))e ^(x)+f (e ^(x))`

B

`f ''(e^(x))e ^(2x)+f '(e ^(x))e ^(2n)`

C

`f '' (e ^(x)) e ^(x)+ f'(e^(x)) e ^(2x)`

D

`f ''(e^(x))e ^(2x) +e ^(x) f'(e^(x))`

Text Solution

Verified by Experts

The correct Answer is:

D

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