# Find the x coordinate of the stationary point of the following curves

by studentxlol
Tags: coordinate, curves, point, stationary
 Math Emeritus Sci Advisor Thanks PF Gold P: 39,552 You are aware that $x^2/x= x$ aren't you? $y= x^2/ln(x)$: $y'= (2xln(x)- x)/(ln(x))^2= 0$ Use parentheses! What you wrote was $y'= 2x ln(x)- (x/(ln(x))^2)= 0$. Multiply both sides of the equation by $(ln(x))^2$ and you are left with 2x ln(x)- x= x(2ln(x)- 1)= 0. Can you solve that?