1.

Find derivatives of the following function.x^x

Answer»

SOLUTION :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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