Derivative of e^(3logx)

1. Let $u = 3 \log{\left(x \right)}$.

2. The derivative of $e^{u}$ is itself.

3. Then, apply the chain rule. Multiply by $\frac{d}{d x} 3 \log{\left(x \right)}$:

   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: $\frac{3}{x}$

   The result of the chain rule is:

   $$3 x^{2}$$

The answer is:

$$3 x^{2}$$