What is the derivative of sqrt (x)?

Question

anonymous · Answer

From the power rule:$$\frac{d}{dx}(x^n)=nx^{n-1}$$

Thus;$$\frac{d}{dx}(x^{\frac{1}{2}})=(\frac{1}{2}x^{-\frac{1}{2}})$$

Do you understand?

anonymous · Answer

okay thats what I got as the answer! just wanted to make sure I was correct! Thank you!

anonymous · Answer

Np!

anonymous · Answer

i have a suggestion 
math teachers love to put this on a  test, sometimes combined with the other rules, like chain rule, product rule etc
it is a very very common function. so my suggestion is now that you have it, memorize it
just know that the derivative of $\sqrt{x}$ is $\frac{1}{2\sqrt{x}}$ like you know $8\times 7=56$ 
it will save you a ton of time on tests, quizzes, homework, etc

anonymous · Answer

yes! that was actually why I had to ask this question, because the only example I had of a problem with a square root was with the chain rule in addition to deriving.