Question

Can someone explain how to take a derivate when there is a sqrt. The sqrt throws me off and I have a test coming up and want to really understand this.
1.) xsqrt(x+3)

Answer 1

Have you tried writing it as a fractional exponent?

Answer 2

That is to say \[\sqrt{x+3} = (x+3)^\frac{1}{2}\]

Answer 3

so then I would just multiply it by the 1/2

Answer 4

Exactly! Of course, you'll want to make sure that you also multiply the expression by the derivative of what's inside the parentheses.

Answer 5

Okay that makes much more sense! thanks so much!

Answer 6

You bet. What did you get for your final answer?