Table of contents

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1 Velocity and distance: slope and area, Discrete derivation
2 Calculus without limits
3 Limits, continuity, and Piecewise functions
4 Derivatives and instant velocity:The rules of differentiation, Composite functions, Hyperbolic functions, Quadratic functions
5 lines: The tangent line, The normal line, Normalization, The secant line, The distance line
6 Bolic Functions: Circles, Parabolas, Hyperbolas
7 Further derivation: Roots, Characteristic polynomials, Inflections and oscillations, Rolles theorem, L hospitals rule, Mean value theorem
8 Inference by derivation: Implicit derivation, related rates

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