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Math Help - Max/Min increase/Decrease for a curve

  1. #1
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    Max/Min increase/Decrease for a curve

    for this equation:

    y=xlnx

    i got

    y'=lnx+1
    and theres no critical values.. so how do i get htis
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  2. #2
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    Quote Originally Posted by s0urgrapes View Post
    for this equation:

    y=xlnx

    i got

    y'=lnx+1
    and theres no critical values.. so how do i get htis
    The drivative is correct.

    Solve for x:

    \ln(x)+1=0~\iff~\ln(x)=-1~\iff~x=\frac1{e^x}

    Therefore you get a minimum point at M\left(\frac1{e^x} , -\frac1{e^x}\right)
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