Posted by **Anonymous** on Friday, April 20, 2012 at 4:02pm.

Find the derivative

1. y = e^xSin²x

2. y = (x³+1)e^-4

3. y = x²e^Sinx

- Calculus -
**bobpursley**, Friday, April 20, 2012 at 4:05pm
if y= uv

y'= u v' + v u'

int the first, u=e^x v=sin^2x

du= e^x dx dv=2sinxcosx dx

y= e^x *2sinx cosx + e^x sin^2x

I will be happy to critique your thinking on the others.

- Calculus -
**Anonymous**, Friday, April 20, 2012 at 4:06pm
Nevermind, please don't answer this question. I have made a mistake. Thanks.

- Calculus -
**Anonymous**, Friday, April 20, 2012 at 4:07pm
Oh but thank you.

- Calculus -
**Anonymous**, Friday, April 20, 2012 at 4:09pm
Ok, I wrote number 2 wrong. Number 1 and number 3 equations are correct but number 2 is actually y = (x²+1)e^-4

1) y = e^x(Sin²x)

2) y = (x²+1)e^-4

3) y = x²(e^Sinx)

please help me on all 3 questions. thank you.

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