SOLUTION: how do you differentiate the problem (y=x^(1-x))

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Question 292976: how do you differentiate the problem (y=x^(1-x))
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: Take the natural log of both sides to get ln%28y%29=ln%28x%5E%281-x%29%29 and pull down the exponent to get ln%28y%29=%281-x%29%2Aln%28x%29. From here, differentiate both sides with respect to 'x' and solve for dy%2Fdx