find dy/dx for the equation y =x^x

Limits, differentiation, related rates, integration, trig integrals, etc.
dawgs10
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find dy/dx for the equation y =x^x

Postby dawgs10 » Wed Dec 02, 2009 4:18 pm

calc 1 question

find dy/dx for the equation y =x^x

does this have to do with ln?

stellar
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Joined: Wed Mar 25, 2009 7:40 pm

Re: find dy/dx for the equation y =x^x

Postby stellar » Wed Dec 02, 2009 4:48 pm

Yeh: ln(y) = xln(x), so (1/y)(dy/dx) = ln(x) + 1. Then multiply by y, and plug in x^x for y on the right side.


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