## anonymous 3 years ago find the derivative of u=5x+1/2 sqrt of x

1. zepdrix

Rewrite the sqrt as a fractional exponent. From there, it will be easier to see what you need to do.( Psssst! Power rule!) $\large u=5x+\frac{ 1 }{ 2 } x^{1/2}$

2. anonymous

okay,

3. anonymous

after that, just plug in the values for each?

4. zepdrix

Hmm you shouldn't need to "plug" anything in, do you know how to take a derivative using the power rule?

5. anonymous

i got 5/ x^1/2

6. anonymous

yeah

7. zepdrix

Hmmm

8. anonymous

nx^ n-1?

9. anonymous

sorry

10. zepdrix

yes good, that's the derivative of x^n :)

11. zepdrix

|dw:1351713737221:dw| Understand what we did there? :O

12. anonymous

yeah,

13. anonymous

do i have to simplify it further?

14. anonymous

or just leave it like that?

15. zepdrix

|dw:1351714227487:dw| You can write it like this if you want. But it's not a big deal. The first form of the answer we came up with is fine.

16. anonymous

okay, thanks