# Thread: Max/Min increase/Decrease for a curve

1. ## 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

2. Originally Posted by s0urgrapes
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 $M\left(\frac1{e^x} , -\frac1{e^x}\right)$