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

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lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0i suggest you take the ln first \[\ln y = \ln e^{x \ln x}\] \[\ln y = x\ln x\] now perform implicit differentiation

DHASHNI
 2 years ago
Best ResponseYou've already chosen the best response.1nowdw:1342326337536:dw

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.0You can do it directly: \[\large \frac{d}{dx}(e^{f(x)}) = e^{f(x)} \times \frac{d}{dx}(f(x))\]

DHASHNI
 2 years ago
Best ResponseYou've already chosen the best response.1differentiatingdw:1342326361411:dw

cunninnc
 2 years ago
Best ResponseYou've already chosen the best response.0dhashni it's kinda hard for me to see your letters

eyust707
 2 years ago
Best ResponseYou've already chosen the best response.0@cunninnc take a look at waterineyes' post. I think that method will make the most sense to you.
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