# If the function f(x)=log_(2x) x^2 is given, what is f′(4)?

Abdiel Mays 2022-11-21 Answered
If the function $f\left(x\right)={\mathrm{log}}_{2x}{x}^{2}$ is given, what is ${f}^{\prime }\left(4\right)$?
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 $1/\left(18\mathrm{ln}2\right)$
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Hint:
Note that:
${\mathrm{log}}_{b}a=\frac{\mathrm{ln}a}{\mathrm{ln}b}$
Now you can use the formula for the derivative of a fraction.