Stage 36 · Limits, Derivatives & Their Applications
36.3.4 The Derivative Function: The Derivative Is a Function Too
36.3 What a Derivative Really Is: Concept and Geometry
Point 4 of 5
36.3.4 The Derivative Function: The Derivative Is a Function Too
Core ideaEvery point has its own steepness, so connect them all up and you get a new function f′(x).
Module goal. Promote the derivative from "a number at one point" to "a brand-new function," and nail down its geometric meaning once and for all: the slope of the tangent.