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.