Conjecture Task

Topic:
Calculus
1) Enter the function 2) Place a dot on the graph of the function . 3) Calculate the distance from the dot to (the origin of coordinates), we'll call it . 4) Construct a point with coordinates

What is the relationship between point A, point P, and distance d when point A moves along the graph of the function?

5) Construct the line OA 6) Construct the tangent line to the graph of the function at point A

Formulate at least three hypotheses that relate the relative position of both lines to the distance d