differentiate. f(x)=2 ln x f(x)=□
differentiate. f(x)=2 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 $y'=c\cdot f'(x)$.
Step2: Apply the rule
Here $c = 2$ and $f(x)=\ln x$. So $f'(x)=2\times\frac{1}{x}$.
Answer:
$\frac{2}{x}$