Final Answer
Step-by-step Solution
Problem to solve:
Specify the solving method
The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If $f(x)=ln\:a$ (where $a$ is a function of $x$), then $\displaystyle f'(x)=\frac{a'}{a}$
Learn how to solve differential calculus problems step by step online.
$\frac{2}{x}\frac{d}{dx}\left(\frac{x}{2}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of ln(x/2). The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If f(x)=ln\:a (where a is a function of x), then \displaystyle f'(x)=\frac{a'}{a}. The derivative of a function multiplied by a constant (\frac{1}{2}) is equal to the constant times the derivative of the function. The derivative of the linear function is equal to 1. Cancel the fraction's common factor 2.