Derivatives of Logarithmic Functions Practice Problems Online

When $f(x) = \ln ( x^{13} )$ , what is the value of $f'(37)?$

Details and assumptions

$\ln$ is the logarithm base $e$ , also called the natural logarithm.

If $f(x) = 4 \ln (e^ {5} x)$ , what is the value of $f'(1)$ ?

If $f(x) = \log_{2}{x}$ , what is $f'(x)$ ?

For $y=6\ln x+9x,$ what is the value of $x \cdot \frac{dy}{dx} ?$

If $f(x) = \log_{3}{(x+2)}$ , what is $f'(x)$ ?

Derivatives of Logarithmic Functions