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

Textbook Question

Chapter 3, 3.4 - Problem 34 - Calculus: Early Transcendentals (7th Edition, James Stewart).
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gsarora17 | (Level 2) Associate Educator

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`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)`

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