If the function $f(x)=\log_{2x}x^2$ is given, what is $f'(4)$?
I tried to use the formula for derivative of logarithm but here the base is $2x$, so it made me confused.
Note that the answer is $1/(18\ln 2)$.
If the function $f(x)=\log_{2x}x^2$ is given, what is $f'(4)$?
I tried to use the formula for derivative of logarithm but here the base is $2x$, so it made me confused.
Note that the answer is $1/(18\ln 2)$.
Hint:
Note that: $$\log_b a = \frac{\ln a}{\ln b}$$ Now you can use the formula for the derivative of a fraction.