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cunninnc

find the derivative of y=e^(x ln^x)?

  • one year ago
  • one year ago

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  1. DHASHNI
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    |dw:1342326166682:dw|

    • one year ago
  2. lgbasallote
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    i suggest you take the ln first \[\ln y = \ln e^{x \ln x}\] \[\ln y = x\ln x\] now perform implicit differentiation

    • one year ago
  3. DHASHNI
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    |dw:1342326299492:dw|

    • one year ago
  4. DHASHNI
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    now|dw:1342326337536:dw|

    • one year ago
  5. waterineyes
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    You can do it directly: \[\large \frac{d}{dx}(e^{f(x)}) = e^{f(x)} \times \frac{d}{dx}(f(x))\]

    • one year ago
  6. DHASHNI
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    differentiating|dw:1342326361411:dw|

    • one year ago
  7. lgbasallote
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    lol shortcuts :p

    • one year ago
  8. DHASHNI
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    |dw:1342326394723:dw|

    • one year ago
  9. cunninnc
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    dhashni it's kinda hard for me to see your letters

    • one year ago
  10. eyust707
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    @cunninnc take a look at waterineyes' post. I think that method will make the most sense to you.

    • one year ago
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