SOLUTION: Find the derivative of y=x^2e^-x

Algebra ->  Test -> SOLUTION: Find the derivative of y=x^2e^-x      Log On


   



Question 406562: Find the derivative of y=x^2e^-x
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
We have y+=+%28x%5E2%29%28e%5E%28-x%29%29. By the Product Rule,

dy%2Fdx+=+2x%28e%5E%28-x%29%29+%2B+%28x%5E2%29%28-e%5E%28-x%29%29

dy%2Fdx+=+%28e%5E%28-x%29%29%282x+-+x%5E2%29