Calculate second order derivative

[chapsticks]

Calculate f" for f(x)=g(e^(2x)), where g is a function defined for all real numbers & g admits second order derivative.

please check if I did it right.
f = g(e^2x)
f' = 2e^{2x g'}
f'' = 4e^2xg' + 2e^2xg''

I have expanded out

4e^2xg'(u) + 2e^2xg''(u)

 

[mathman]

Fix your equations. g is ending up in the exponent.

 

[chapsticks]

4e^2xg'(u) + 2e^2xg''(u)

 

[Sina]

4e^2xg'(u) + 4e^4xg''(u)

when taking the derivative of the derivative you forget the factor 2e^2x