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differentiation

The derivative as a function

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Taught in

Requires

Required by

Local knowledge map

Local knowledge map

Basic antiderivative rules -- power, constant multiple,… Concavity and inflection points Finding absolute extrema on a closed interval Fundamental Theorem of Calculus, Part 2 (evaluation) Indefinite integral notation The arbitrary constant of integration (+C) Velocity and acceleration Antiderivatives -- the reverse of differentiation Higher-order derivatives Local extrema and Fermat's theorem Reading f' from the graph of f The derivative as a function Constant, power, and constant-multiple rules Derivatives of trigonometric functions Differentiability and continuity L'Hopital's Rule: 0/0 and infinity/infinity Linear approximation Newton's method Rates of change in the sciences The chain rule The product rule The definition of the derivative Average vs. instantaneous rate of change What a limit means

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