Question

solve:with logothism

d/dx(x²e)

Answer 1

take y=x²e
take ln on both sides
ln y=2lnx+1
diff. w.r.t x on both sides
$\frac{1}{y} \frac{dy}{dx}= \frac{2}{x}$
$\frac{dy}{dx}= \frac{2y}{x}= \frac{2x^2e}{x}=2xe$

short method:
$\frac{dy}{dx}= \frac{d}{dx}( x^{2} e)=2xe$