Derivative of a Cubic Function

The Derivatives Animation demonstrates how to calculate the derivative of a function using the tangent line. The animation shows a function f(x) = (1/3)x^3 on a coordinate plane, with the tangent line at a point on the function moving horizontally as the point moves vertically along the function. A second coordinate plane shows the derivative function f'(x) = x^2, which is calculated using the slope of the tangent line. The animation is presented in high definition with a resolution of 1080p60 and has a file size of 1.7 MB. The animation also includes a calculation of the tangent line's slope, represented by the angle between the tangent line and the x-axis, as well as the x-value of the point of tangency.

This animation is useful for teaching students about the concept of derivatives and how to calculate them using the tangent line.