Hey guys
can you help with this please?
9) Differentiate $\displaystyle xe^{\sqrt{x}}$
Please help,
thankyou guys!
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 $\displaystyle \frac d{dx}e^{\sqrt{x}}$
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