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kathyQ

  • 3 years ago

differentiate power logarithmic function:

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  1. colorful
    • 3 years ago
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    a what now? not familiar with that compound term there...

  2. colorful
    • 3 years ago
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    oh good, gonna type it :)

  3. kathyQ
    • 3 years ago
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    |dw:1344460572765:dw|

  4. colorful
    • 3 years ago
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    oy... tedious use log properties first to simplify this

  5. colorful
    • 3 years ago
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    \[\log(x^a)=a\log x\]\[\log(\frac ab)=\log a-\log b\]

  6. kathyQ
    • 3 years ago
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    hmmm...but i'm not sure whether to use 1/xlna or 1/x

  7. kathyQ
    • 3 years ago
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    oh, i see

  8. kathyQ
    • 3 years ago
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    let me try

  9. colorful
    • 3 years ago
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    I love that attitude :)

  10. kathyQ
    • 3 years ago
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    :)

  11. kathyQ
    • 3 years ago
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    |dw:1344460921061:dw| ??

  12. kathyQ
    • 3 years ago
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    |dw:1344461107424:dw|

  13. kathyQ
    • 3 years ago
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    is that correct, or im missing something?

  14. experimentX
    • 3 years ago
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    |dw:1344461330368:dw|

  15. kathyQ
    • 3 years ago
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    |dw:1344461651309:dw|

  16. experimentX
    • 3 years ago
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    yep ... you got it. if you want to check ... plug into wolframalpha

  17. kathyQ
    • 3 years ago
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    |dw:1344461799411:dw|

  18. kathyQ
    • 3 years ago
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    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
    • 3 years ago
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    denominator*

  20. kathyQ
    • 3 years ago
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    do you know why?

  21. kathyQ
    • 3 years ago
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    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?

  22. experimentX
    • 3 years ago
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    yep ... try to make things as easy as possible.

  23. kathyQ
    • 3 years ago
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    that's awesome!! thanks! :)

  24. experimentX
    • 3 years ago
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    yw .... try putting input into right format. to check if it's right or wrong ... just check input interpretation.

  25. kathyQ
    • 3 years ago
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    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?

  26. kathyQ
    • 3 years ago
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    i have little time using that website. i guess i need to figure out how to use it correctly

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

  28. kathyQ
    • 3 years ago
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    wow, that's great. thanks a lot for ur help!!

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