How do you find the derivative of $f(x) = x^2 * ln(x)$ ?

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Answer 1 · 2016-12-22T23:47:49

$d/(dx) (x^2lnx) = x(1+2lnx)$

You can differentiate $f(x)$ using the product rule:

$d/(dx) (x^2lnx) = d/(dx) x^2* lnx + x^2 d/(dx) lnx = 2xlnx +x^2*1/x= 2xlnx+x=x(1+2lnx)$

How do you find the derivative of f(x) = x^2 * ln(x) f(x) = x^2 * ln(x) ?