Question

How do you differentiate `f(x)=sece^(4x)` using the chain rule.?

Answer 1

`f'(x)=4e^(4x)sec(e^(4x)) * tan(e^(4x))`

Explanation:

By the chain rule, if `y=f(u) and u=f(x)`. then
`dy/dx=(dy)/(du)*(du)/dx`

`therefored/dx[sec(e^(4x))]=sec(e^(4x)) * tan(e^(4x)) * e^(4x) * 4`