Question

Differentiate: f(x)= x²lnx

Answer 1

use the product rule

Answer 2

$$f'(x)=\frac{d}{dx}\left[x^2\log x\right]=\frac{d}{dx}\left[x^2\right]\log x+x^2\frac{d}{dx}[\log x]=2x\log x+x^2\frac1x=2x\log x+x$$

Answer 3

burhaan! buddy

Answer 4

Product rule:\[\bf f'(x)=(x^2)'\ln(x)+x^2(\ln(x))'\]