How do you differentiate $f(x)=2lnx^3$ ?

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Answer 1 · 2015-04-09T18:57:03

$f(x)=2lnx^3$ Can be differentiated by using the chain rule
We'll go through that that after we do it the easy way.

Use the fact the $ln a^p = p lna$ to rewrite the function:

$f(x)=2lnx^3=2(3lnx)=6 lnx$ .

And so, $f'(x)=6*1/x=6/x$ .

OR

$f(x)=2lnx^3$

$f'(x)=2[1/x^3*3x^2]=(6x^2)/x^3 = 6/x$ .

How do you differentiate f(x)=2lnx^3f(x)=2lnx^3?