Question

let (g(x)=3x^{4}-7ln(x)). (g(x)=square)

Explanation:

Step1: Recall derivative rules

The derivative of $ax^n$ is $nax^{n - 1}$ and the derivative of $\ln(x)$ is $\frac{1}{x}$.

Step2: Differentiate each term

For the term $3x^4$, using the power - rule, its derivative is $4\times3x^{4 - 1}=12x^3$. For the term $-7\ln(x)$, its derivative is $-7\times\frac{1}{x}=-\frac{7}{x}$.

Answer:

$12x^3-\frac{7}{x}$