How do you find the derivative of #5e^x sqrt(x)#?
I would use the Product Rule where if you have:
In your case you get:
By the way:
It is a good idea, after you memorize the first derivative rules, to memorize:
The square root function comes up a lot, because it is the length of a diagonal (hypotenuse of a right triagle). So it is involved in distance.