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alfira

  • 3 years ago

find the derivative

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  1. alfira
    • 3 years ago
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    (3/x)^x

  2. Dido525
    • 3 years ago
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    Do you know how to use ln differentiation?

  3. alfira
    • 3 years ago
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    not sure

  4. alfira
    • 3 years ago
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    you mean add e into it ?

  5. Dido525
    • 3 years ago
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    No no. Remember one thing. You can only use the power rule if you have a number on the power.

  6. Dido525
    • 3 years ago
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    Since that's not the case you have to use ln differentiation.

  7. Dido525
    • 3 years ago
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    Basically it means you take the natural log of both sides.

  8. alfira
    • 3 years ago
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    e^xIn(3/x)

  9. alfira
    • 3 years ago
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    is that what you mean?

  10. Dido525
    • 3 years ago
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    So we have, |dw:1355452492770:dw|

  11. Dido525
    • 3 years ago
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    That's what I mean :P .

  12. Dido525
    • 3 years ago
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    No do you see how we get the power out?

  13. Dido525
    • 3 years ago
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    |dw:1355452563984:dw|

  14. shining
    • 3 years ago
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    put it as power of e then x e^ (3/x) result: e^(3/x) + (-3/(x)^2)*x

  15. Dido525
    • 3 years ago
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    @shining : That works too but I prefer my way. Makes more sense to me. I was never good with powers XD .

  16. shining
    • 3 years ago
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    any way satisfy you!

  17. alfira
    • 3 years ago
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    but in your way , we have to multiply it by 1/y at the end right ?

  18. shining
    • 3 years ago
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    yeah

  19. alfira
    • 3 years ago
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    got it ` thanks guys

  20. Dido525
    • 3 years ago
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    |dw:1355452766676:dw|

  21. Dido525
    • 3 years ago
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    Now take the derivative.

  22. alfira
    • 3 years ago
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    got it

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