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AravindG

  • 2 years ago

find slope at (7,0) using logarithmic differentiation

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  1. AravindG
    • 2 years ago
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    |dw:1346421890041:dw|

  2. AravindG
    • 2 years ago
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    i did like this : |dw:1346421919918:dw|

  3. AravindG
    • 2 years ago
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    |dw:1346421955554:dw|

  4. AravindG
    • 2 years ago
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    |dw:1346421991344:dw|

  5. Rohangrr
    • 2 years ago
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    @AravindG follow this : http://scidiv.bellevuecollege.edu/dh/Calculus_all/CC_2_9_ImplicitDiff

  6. AravindG
    • 2 years ago
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    now when i put x=7 i am stuck!

  7. Rohangrr
    • 2 years ago
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    |dw:1346422078702:dw|

  8. AravindG
    • 2 years ago
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    ya i cant find slope at (7,0)

  9. AravindG
    • 2 years ago
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    the answer is 1/20

  10. AravindG
    • 2 years ago
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    @Mimi_x3 , @UnkleRhaukus please help

  11. AravindG
    • 2 years ago
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    @satellite73

  12. Mikael
    • 2 years ago
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    Well Ar. I read up on this nice tool Logarithm differentiation. Thx for the news But I can show that it is quite works well here

  13. AravindG
    • 2 years ago
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    how?

  14. Mikael
    • 2 years ago
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    1 Attachment
  15. AravindG
    • 2 years ago
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    in btw hapy that i could tell u sthng new :) its very hand for big eqns

  16. Mikael
    • 2 years ago
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    Now WRITE THE SPECIAL CASE of YOURS CAREFULLY with this:

  17. Mikael
    • 2 years ago
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    \[(x-7)/(x-2)(x-3)*[ \frac{ 1 }{ x-7 } - \frac{(2x -5)}{(x-2)(x-3)}]\]

  18. Mikael
    • 2 years ago
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    Now the FIRST fraction IS REDUCED and the second evaluates to zero at x=7

  19. Mikael
    • 2 years ago
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    \[=\frac{ 1 }{ (x-2)(x-3)}\]

  20. Mikael
    • 2 years ago
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    = 1/20

  21. Mikael
    • 2 years ago
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    See again my attachment

  22. satellite73
    • 2 years ago
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    the more prosaic way to look at this is when you multiply by the original function the \(x-7\) cancels

  23. Mikael
    • 2 years ago
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    that's what i said above

  24. satellite73
    • 2 years ago
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    yes, it is nice

  25. Mikael
    • 2 years ago
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    Guru -can you put some explanations whether one has a chance to become YOUR moderatot ?

  26. AravindG
    • 2 years ago
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    gt it !!!! thx a lot @satellite73 and @Mikael

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