Find derivatives of the following functi...

Find derivatives of the following function.
`x^x`

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Let`y=x^x`
Then In `y=xcdotIn` x
`rArr d/dx(In y)-d/dx(xcdotInx)`
`rArr1/y =In x+xcdot1/x=x+1=1+In x`
`rArrdy/dx=y(1+In x)=x^x(1+Inx)`

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