y=e^(5e^x)

Question

differentiate first and second derivative

Answer 1

u=5e^x
u' = 5e^x

y = e^u
y' = e^u u' = e^(5e^x) * 5e^x
or, y' = 5e^(x+5e^x)
y" = 5(1+5e^x)e^(x+5e^x)