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Given f(x)=x^2*e^x, calculate f'(x)?

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yapayapa | Honors

Posted August 28, 2013 at 2:27 PM via web

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Given f(x)=x^2*e^x, calculate f'(x)?

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted August 28, 2013 at 2:29 PM (Answer #1)

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The function `f(x) = x^2*e^x`

`f'(x) = (x^2)'*(e^x) + *x^2)*(e^x)'`

= `2x*e^x + x^2*e^x`

= `x*e^x(2 + x)`

The derivative `f'(x) = x*e^x(2 + x)`

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