CHA-2.B—Represent the derivative of a function as the limit of a difference quotient
- Syllabus
- 2020
- Objective
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- Level
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CHA-2.B—Represent the derivative of a function as the limit of a difference quotient
- CHA-2.B Represent the derivative of a function as the limit of a difference quotient.
- CHA-2.B.1 The instantaneous rate of change of a function at x = a can be expressed by lim h→0 (f(a + h) − f(a))/h or lim x→a (f(x) − f(a))/(x − a), provided the limit exists. These are equivalent forms of the definition of the derivative and are denoted f′(a).
- 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