Question

diferentiala de ordin doi pt
f(x) = x ln x
dau coroana​

Answer 1

$\displaystyle\bf\\\frac{d^2}{dx^2}(xln(x))=\frac{d}{dx}\left(\frac{d}{dx}\left(xln(x)\right)\right)=\frac{d}{dx}\left(ln(x)\frac{d}{dx}x+x\frac{d}{dx}ln(x)\right)=\\\frac{d}{dx}(ln(x)+1)=\frac{d}{dx}ln(x)+\frac{d}{dx}1=\frac{1}{x}.$