Thread: Confirmation needed on if this derivative is correct

1. Confirmation needed on if this derivative is correct

(I attached my work as well as my answer guide)(Question #1 d)

When taking the derivative of a function, it is possible to obtain different algebraic formulas to the same function. I just wanted to know if my work is wrong or correct and if it is in fact equal to the answer or not. I don't want to go on assuming I am correct if I'm not which is why I'm asking for confirmation here.

Any input would be greatly appreciated!

2. Originally Posted by s3a
(I attached my work as well as my answer guide)(Question #1 d)

When taking the derivative of a function, it is possible to obtain different algebraic formulas to the same function. I just wanted to know if my work is wrong or correct and if it is in fact equal to the answer or not. I don't want to go on assuming I am correct if I'm not which is why I'm asking for confirmation here.

Any input would be greatly appreciated!
$\displaystyle \sqrt{x}e^x$
$\displaystyle \frac{e^x}{2\sqrt{x}}+ e^x\sqrt{x}$