Let $f$ be the function defined on $]0; +\infty[$ by $f(x) = x^2 \ln x$. The expression of the derivative function of $f$ is: a. $f'(x) = 2x \ln x$. b. $f'(x) = x(2\ln x + 1)$. c. $f'(x) = 2$. d. $f'(x) = x$.
Let $f$ be the function defined on $]0; +\infty[$ by $f(x) = x^2 \ln x$.\\
The expression of the derivative function of $f$ is:\\
a. $f'(x) = 2x \ln x$.\\
b. $f'(x) = x(2\ln x + 1)$.\\
c. $f'(x) = 2$.\\
d. $f'(x) = x$.