Problem

Source: Albanian Mathematical Olympiad 12 GRADE 2011--Question 2

Tags: function, logarithms, analytic geometry, graphing lines, slope, algebra unsolved, algebra



(a) Find the minimal distance between the points of the graph of the function $y=\ln x$ from the line $y=x$. (b) Find the minimal distance between two points, one of the point is in the graph of the function $y=e^x$ and the other point in the graph of the function $y=ln x$.