How do you find the derivative of $x {ln}^{3 x}$ $xln^(3x)$ ?

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Answer 1 · 2016-11-09T04:25:20

Question does not make sense, as you cannot write a log to the power of something without anything inside the log.

ASSUMING you meant $x ln (3 x)$ $xln(3x)$ :

Let $f (x) = x ln (3 x)$ $f(x)=xln(3x)$

Use product rule to differentiate:
$f'(x)=x(3/(3x)) + (1)ln(3x)$
$f'(x)=1+ln(3x)$

How do you find the derivative of xln^(3x)xln3xxln^(3x)?