The Derivative as Instantaneous Rate of Change

Name: The Derivative as Instantaneous Rate of Change
Uploaded: 2026-07-29T03:07:35.835111+00:00
Duration: 2 min 16 s
Description: The derivative as an instantaneous rate of change: start from the average rate of change over an interval as the slope of a secant line, then let the interval shrink so the secant lines approach the tangent line, whose slope is the derivative. Show the parabola, the fixed point, and the secant lines sweeping toward the tangent.

The derivative as an instantaneous rate of change: start from the average rate of change over an interval as the slope of a secant line, then let the interval shrink so the secant lines approach the tangent line, whose slope is the derivative. Show the parabola, the fixed point, and the secant lines sweeping toward the tangent.

The Derivative as Instantaneous Rate of Change | Anytutor