use a chain rule to find the derivative of f(x)=e^3x

Given f(x) = e^3x

We need to
find the first derivative f'(x) using the chain rule.

We
will assume that u= 3x ==> u' = 3

==> f(x) =
e^u

==> Now we will
differentiate:

==> f(x) = (e^u)' = u' * e^u
du

==> Now we will substitute with
x.

==> f(x) =  3 ** e^3x =
3*e^3x

Thenthe derivative of f(x) is f'(x) =
3*e^3x