Relax with the First and Second Derivative

This video includes an animation that explains the geometrical meaning of first derivative, the slope of tangent line to the graph of the function and also the radius curvature which is related to the first and second derivative by the formula.

Formula for Radius of Curvature
R is the radius of the osculating circle which is tangent to the tangent to the curve of function y = f(x) at the same point, shown in the video below.

More References and links

  1. Math Videos