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CHA-2.B—Represent the derivative of a function as the limit of a difference quotient—Topic 2.2

Syllabus
2020
Objective
Level

CHA-2.B—Represent the derivative of a function as the limit of a difference quotient—Topic 2.2

  • CHA-2.B Represent the derivative of a function as the limit of a difference quotient.
  • CHA-2.B.2 The derivative of f is the function whose value at x is lim h→0 (f(x + h) − f(x))/h, provided this limit exists.
  • CHA-2.B.3 For y = f(x), notations for the derivative include dy/dx, f′(x), and y′.
  • CHA-2.B.4 The derivative can be represented graphically, numerically, analytically, and verbally.
  • Enduring understanding CHA-2: Derivatives allow us to determine rates of change at an instant by applying limits to knowledge about rates of change over intervals.
ConceptAP Calculus AB