Question

What is the derivative of a^x

Answer 1

\[y=a^x\] a>0
\[\ln(y)=\ln(a^x)\]
\[\ln(y)=xln(a)\]
take derivative of both sides

Answer 2

[ln(y)]'=y'/y

[c x]'=c

Answer 3

where c in this case is ln(a)

Answer 4

then multiply y on both sides to isolate y'

Answer 5

so what is the final answer?