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If y={f(x)}^(phi(x)),"then"(dy)/(dx) is...

If `y={f(x)}^(phi(x)),"then"(dy)/(dx)` is

A

`e^(philogf){phi/f.(df)/(dx)+logf.(dphi)/(dx)}`

B

`phi/(f) ((df)/(dx))+(dphi)/(dx) logf`

C

`e^(philogf){phi(f')/f+phi'logf'}`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
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