Question

What is the derivative of `f(x)= 2^(3x)`?

Answer 1

Answer
`d/dx(a^x) = a^xlog(a)`
`f(t) = 2^t` where `t=3x`
`(d(f(x)))/dx=d/dt(f(t))*dt/dx`

`(d(f(x)))/dx = 2^tlog2*3`

`f'(x) = 2^(3x) log2*3`