# Derivative Problem

• Apr 17th 2007, 06:45 PM
cupcakelova87
Derivative Problem
Find the derivative of:
y=(x^2)(e^x) - 2x(e^x) + 2(e^x)

Thanks!
• Apr 17th 2007, 06:50 PM
luckyc1423
x^2 * e^x
• Apr 17th 2007, 06:50 PM
Jhevon
Quote:

Originally Posted by cupcakelova87
Find the derivative of:
y=(x^2)(e^x) - 2x(e^x) + 2(e^x)

Thanks!

y = (x^2)(e^x) - 2x(e^x) + 2(e^x)
=> y = (e^x)(x^2 - 2x + 2) .................................we need the product rule for this, hope you remember it
=> y' = (e^x)(x^2 - 2x + 2) + (e^x)(2x - 2) ...........now simplify
=> y' = (e^x)(x^2 - 2x + 2 + 2x - 2)
=> y' = (e^x)(x^2)
• Apr 17th 2007, 06:51 PM
ecMathGeek
Quote:

Originally Posted by cupcakelova87
Find the derivative of:
y=(x^2)(e^x) - 2x(e^x) + 2(e^x)

Thanks!

The first two terms involve product rule: (uv)' = uv' + u'v

y' = x^2*e^x + 2xe^x - 2xe^x - 2e^x + 2e^x
y' = x^2*e^x
• Apr 17th 2007, 06:59 PM
luckyc1423
lol, sorry...everyone does such a great job at helping me on here so I jumped at the chance when I knew the answer
• Apr 17th 2007, 07:12 PM
cupcakelova87
Thanks to all :)