Question

what is the derivative of 3^x??

Answer 1

\[\begin{align}
\text{let }y&=3^x\\
\ln(y)&=\ln(3^x)=x\ln(3)\\
\frac{1}{y}\frac{dy}{dx}&=\ln(3)\\
\frac{dy}{dx}&=y\ln(3)=3^x\ln(3)
\end{align}\]

Answer 2

3^x * ln(x)