Maths doubt

[SoniaKapoor]

Q. IF f(1)=4 ,f ' (1)=2 what is the derivative of log (f(e^x)) wrt x at x=0.

[Noel]

1/2

[Homer Simpson]

Answer is 1/2

[SoniaKapoor]

pls tell me hw to solve...my ans is not matching :(

[Homer Simpson]

df/dx = (1/f(e^x))x(f'(e^x))x(e^x) now put x=0 and solve, (1/f(1))x(f'(1))x1 = 1/2

[SoniaKapoor]

Thnanx Tsuki...i made a very silly error.:)