Derivative as Tangent

The animation visually demonstrates how the derivative of (y = x^2) is found by showing a secant line between two points on the curve, simplifying its slope to (2 + h), and then letting the second point slide toward the first to form the tangent line. This process illustrates the limit definition of the derivative, ultimately revealing that the slope of the tangent line is (f'(x) = 2x).