`y = x^2 e^(-1/x)` Find the derivative of the function.

Expert Answers
gsarora17 eNotes educator| Certified Educator

`y=x^2e^(-1/x)`

Derivative can be found by using the product rule

`y'= x^2*(e^(-1/x)(-1*-1*x^-2)) +e^(-1/x)*2x`

`y'= x^2(x^-2e^(-1/x) )+ 2xe^(-1/x)`

`y' = e^(-1/x) +2xe^(-1/x)`

`y'=(1+2x)e^(-1/x)`