Question

Log derivatives

Answer 1

4^3x

Answer 2

\[4^{3x}=e^{3x\ln(4)}\] take the derivative using the chain rule

Answer 3

or perhaps you have memorized
\[\frac{d}{dx}b^x=b^x\ln(b)\] in which case you can go right to the answer, again by the chain rule

Answer 4

not exactly clear why you have "log derivatives"
if it was something like
\[x^{2x}\] you would need logarithmic differentiation, but this one really just needs the chain rule
\[4^{3x}\ln(4)\times 3\]

Answer 5

well my teacher listed log problems i had to derive, this happens to be one of them

Answer 6

isn't it 3(ln4)4^3x?