Question

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

Answer 1

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

Explanation:

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)`