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