Hey guys

can you help with this please?

9) Differentiate $\displaystyle xe^{\sqrt{x}}$

Please help,

thankyou guys!

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- Oct 8th 2007, 01:43 PManthmooUrgent differential help!!
Hey guys

can you help with this please?

9) Differentiate $\displaystyle xe^{\sqrt{x}}$

Please help,

thankyou guys! - Oct 8th 2007, 01:49 PMJhevon
- Oct 8th 2007, 02:16 PManthmoo
I did...but I keep getting 5e^2

I think its differentiating $\displaystyle e^{\sqrt{x}}$ that's the problem. Can you help with that? - Oct 8th 2007, 02:20 PMJhevon
did you see my last post? when finding the derivative of e to some power, you find the derivative of the power and multiply it by e to the old power

example: $\displaystyle \frac d{dx}e^{x^2} = \frac d{dx}x^2 \cdot e^{x^2} = 2xe^{x^2}$

now try $\displaystyle \frac d{dx}e^{\sqrt{x}}$ - Oct 8th 2007, 09:53 PManthmoo
Thankyou so much!

I can do it now =] all that was needed was that rule you gave for differentiating e to the power of a function. Thank you!

Anthmoo - Oct 8th 2007, 09:53 PMJhevon
- Oct 9th 2007, 02:18 AManthmoo
I got $\displaystyle 2e^2$ ...that's right isn't it?

Thanks =] - Oct 9th 2007, 06:34 AMtopsquark
No!! The only way you can get a constant after taking a derivative is if the original function is a constant times x. Does $\displaystyle e^{\sqrt{x}}$ look like $\displaystyle cx$?

Recall what Jhevon said:

Here we have $\displaystyle u = \sqrt{x}$. So what is $\displaystyle u^{\prime}$?

-Dan - Oct 9th 2007, 08:11 AManthmoo
- Oct 9th 2007, 08:15 AMtopsquark