## anonymous 4 years ago find the derivative of y=e^(x ln^x)?

1. anonymous

|dw:1342326166682:dw|

2. anonymous

i suggest you take the ln first $\ln y = \ln e^{x \ln x}$ $\ln y = x\ln x$ now perform implicit differentiation

3. anonymous

|dw:1342326299492:dw|

4. anonymous

now|dw:1342326337536:dw|

5. anonymous

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

6. anonymous

differentiating|dw:1342326361411:dw|

7. anonymous

lol shortcuts :p

8. anonymous

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9. anonymous

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

10. eyust707

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