Derivative of 2lnx+3^x

1. Differentiate $3^{x} + 2 \log{\left(x \right)}$ term by term:

   1. The derivative of a constant times a function is the constant times the derivative of the function.

      1. The derivative of $\log{\left(x \right)}$ is $\frac{1}{x}$.

      So, the result is: $\frac{2}{x}$

   2. $\frac{d}{d x} 3^{x} = 3^{x} \log{\left(3 \right)}$

   The result is: $3^{x} \log{\left(3 \right)} + \frac{2}{x}$

The answer is:

$$3^{x} \log{\left(3 \right)} + \frac{2}{x}$$