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



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DHASHNI
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dw:1342326166682:dw

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

DHASHNI
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DHASHNI
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nowdw:1342326337536:dw

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

DHASHNI
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differentiatingdw:1342326361411:dw

lgbasallote
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lol shortcuts :p

DHASHNI
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cunninnc
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dhashni it's kinda hard for me to see your letters

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