## kathyQ 3 years ago differentiate power logarithmic function:

1. colorful

a what now? not familiar with that compound term there...

2. colorful

oh good, gonna type it :)

3. kathyQ

|dw:1344460572765:dw|

4. colorful

oy... tedious use log properties first to simplify this

5. colorful

$\log(x^a)=a\log x$$\log(\frac ab)=\log a-\log b$

6. kathyQ

hmmm...but i'm not sure whether to use 1/xlna or 1/x

7. kathyQ

oh, i see

8. kathyQ

let me try

9. colorful

I love that attitude :)

10. kathyQ

:)

11. kathyQ

|dw:1344460921061:dw| ??

12. kathyQ

|dw:1344461107424:dw|

13. kathyQ

is that correct, or im missing something?

14. experimentX

|dw:1344461330368:dw|

15. kathyQ

|dw:1344461651309:dw|

16. experimentX

yep ... you got it. if you want to check ... plug into wolframalpha

17. kathyQ

|dw:1344461799411:dw|

18. kathyQ

somehow i'm missing a part of the numerator it seems: http://www.wolframalpha.com/input/?i=%28d%2Fdx%29%28ln%28%282x%2B1%29%2F%283x-1%29%29%29^%283%2F5%29

19. kathyQ

denominator*

20. kathyQ

do you know why?

21. experimentX
22. kathyQ

oh, wow, thanks!!! so, basically, whenever i need to find the derivative of a power logarithmic function, i first apply the logarthmic properties as to get rid of the exponent, right?

23. experimentX

yep ... try to make things as easy as possible.

24. kathyQ

that's awesome!! thanks! :)

25. experimentX

yw .... try putting input into right format. to check if it's right or wrong ... just check input interpretation.

26. kathyQ

yes, thanks. it's easier when they give the symbols. I was guessing. I didnt know i could just type "differentiate". can i type "integrate" too?

27. kathyQ

i have little time using that website. i guess i need to figure out how to use it correctly

28. experimentX

yep ... you can. http://www.wolframalpha.com/input/?i=integrate+1%2Fx&lk=4&num=2

29. kathyQ

wow, that's great. thanks a lot for ur help!!