Conjecture Task

[br][size=150][br]1) Enter the function [math]f(x)=Ln(x)[/math][br][br]2) Place a dot [math]A[/math] on the graph of the function [math]f[/math].[br][br]3) Calculate the distance from the dot [math]A[/math] to [math]O[/math] (the origin of coordinates), we'll call it [math]d[/math].[br][br]4) Construct a point [math]P[/math] with coordinates [math]\left(x_A,d\right)[/math][br][/size][br]
What is the relationship between point A, point P, and distance d when point A moves along the graph of the function?
[size=100][size=150]5) Construct the line OA[br][br]6) Construct the tangent line to the graph of the function at point A[br][/size][/size]
Formulate at least three hypotheses that relate the relative position of both lines to the distance d
Close
– Gonzalo Galván Firpo

Information: Conjecture Task