differentiate. f(x)=10 ln x f(x)=□
differentiate. f(x)=10 ln x f(x)=□
Answer
Explanation:
Step1: Recall derivative rule
The derivative of $\ln x$ is $\frac{1}{x}$, and for a constant - multiple function $y = cf(x)$ (where $c$ is a constant and $f(x)$ is a function), the derivative is $y'=cf'(x)$.
Step2: Apply the rule
Here $c = 10$ and $f(x)=\ln x$. So $f'(x)=10\times\frac{1}{x}=\frac{10}{x}$.
Answer:
$\frac{10}{x}$