## anonymous 4 years ago differentiate power logarithmic function:

1. anonymous

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

2. anonymous

oh good, gonna type it :)

3. anonymous

|dw:1344460572765:dw|

4. anonymous

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

5. anonymous

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

6. anonymous

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

7. anonymous

oh, i see

8. anonymous

let me try

9. anonymous

I love that attitude :)

10. anonymous

:)

11. anonymous

|dw:1344460921061:dw| ??

12. anonymous

|dw:1344461107424:dw|

13. anonymous

is that correct, or im missing something?

14. experimentX

|dw:1344461330368:dw|

15. anonymous

|dw:1344461651309:dw|

16. experimentX

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

17. anonymous

|dw:1344461799411:dw|

18. anonymous

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. anonymous

denominator*

20. anonymous

do you know why?

21. experimentX
22. anonymous

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. anonymous

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. anonymous

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. anonymous

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. anonymous

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