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Unit 2: Differentiation: Definition and Fundamental Properties
AP Calculus BC — Note Packet
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Key Terms
Average Rate of Change
The slope of a _ line, calculated as [f(b) - f(a)] / [b - a].
Secant Line
A line that cuts through a function at _ distinct points.
Instantaneous Rate of Change
The rate of change at a _ point, found using a limit, which is the slope of a __________ line.
Tangent Line
A line that touches a function at exactly one point, representing the _ rate of change at that point.
Difference Quotient
The limit definition for the derivative: lim (h→0) [f(x+h) - f(x)] / ______.
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