QuestionIf $f(x)=2 \ln (x+5)$, what is the value of $f^{\prime}(5)$ in simplest form?

Studdy Solution
Substitute $x = 5$ into the derivative:
$$f'(5) = \frac{2}{5+5}$$
Simplify the expression:
$$f'(5) = \frac{2}{10}$$ $$f'(5) = \frac{1}{5}$$
The value of $f'(5)$ is:
$$\boxed{\frac{1}{5}}$$