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Best Answer

start by differentiating each component

d/dx [x2]=2x

d/dx [lnx]=1/x

product rule

2xlnx+x2/x

simplify (factoring)

x[2ln(x)+1]

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Q: How do you find derivative of x2lnx?
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How do you find the extreme values of x2lnx?

Taking the derivative: 2lnx+2, 2(lnx+1). Extrema occur at y'=0. 2(lnx+1)=0,lnx=-1 x=e^(-1)=1/e y=-2/e So the extrema occurs at (1/e,-2/e)


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You will find several formulae in the Wikipedia article on "derivative".


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The purpose of finding a derivative is to find the instantaneous rate of change. In addition, taking the derivative is used in integration by parts.


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