Calculate Derivative

[layd33foxx]

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

 

[layd33foxx]

can you check it please.

f = g(e^2x)
f' = 2e^2x g'
f'' = 4e^2xg' + 2e^2xg''

I have expanded out

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

 

[Deleted member 4993]

can you check it please.

f = g[e^ (2x) ]
f' = 2e^(2x) g'
f'' = 4e^(2x)g' + 2e^(2x)g''

I have expanded out

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

Looks good - except for those grouping symbols....