How do you find the derivative of $log 4^(x^2)$ ?

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Answer 1 · 2018-04-26T19:47:28

$d/dxlog4^(x^2)=2xlog4$

We use the following rule to simplify the function:

$loga^b=bloga$

So

$log4^(x^2)=x^2log4$

and

$d/dxlog4^(x^2)=d/dxx^2log4=2xlog4$

Remember that $log4$ is just a constant.

How do you find the derivative of log 4^(x^2) log 4^(x^2)?