## anonymous one year ago Find the derivative of f(x) = 6 divided by x at x = -2.

1. butterflydreamer

any idea on how to differentiate 6/x ?

2. anonymous

no

3. butterflydreamer

|dw:1436537631593:dw|

4. anonymous

ok

5. butterflydreamer

so now, what we're basically trying to differentiate is : |dw:1436537787461:dw| So in your question, can you tell me what "k" and "n" will be?

6. butterflydreamer

|dw:1436537961857:dw| can you see that "k" would be 6 and "n" would be -1 ? :)

7. anonymous

Yes. Thanks.

8. butterflydreamer

sooo do you know where to go from here? :)

9. anonymous

No idea. I haven't done this stuff in forever

10. butterflydreamer

oh well k = 6, n = -1 so plug it into the formula in the red box

11. anonymous

[6x^-1] = 6x (-1)x^-1-1

12. anonymous

6 times (-1)

13. butterflydreamer

correct :) so now just simplify the exponent part "-1-1"

14. anonymous

so ^-2

15. butterflydreamer

yeppp, so basically: |dw:1436538315144:dw|

16. anonymous

Ok.

17. butterflydreamer

now you sub in x = 2 into the above and you'll have your answer :)

18. anonymous

so 6/4 or 3/2

19. butterflydreamer

20. anonymous

yeah

21. anonymous

thanks

22. butterflydreamer

You're welcome :)!

Find more explanations on OpenStudy