Question

How do I differentiate this function?

Answer 1

f(x)= \[4^{3x}\]

Answer 2

\[\frac{d}{dx}b^x=b^x\ln(b)\]

Answer 3

you will need the chain rule here because you have
\[4^{3x}\] so don't forget to multiply by 3

Answer 4

if you need a method, you could do one of two things. rewrite
\[4^{3x}=e^{3x\ln(4)}\] and take the derivative of that

Answer 5

or take the log, get
\[\ln(4^{3x})=3x\ln(4)\] take the derivative and then multiply by the original function. but it is easiest just to remember how to differentiate
\[b^x\]