Differential Calculus by National Open University of Nigeria
Differential Calculus by National Open University of Nigeria
Differential Calculus by National Open University of Nigeria
The aims of this note is to position you to a level of
competence in the techniques or skills in solving any type of problem on
differentiation. Topics covered includes: Basic Properties of Real Number,
Functions, Limit, Continuity, Differentiation, Rules of Differentiation,
Differentiation of Logarithmic and Exponential Function, Differentiation of
Trigonometric and Hyperbolic Function, Application of Differentiation.
This note covers the following topics: Limits and
Continuity, Differentiation Rules, Applications of Differentiation, Curve
Sketching, Mean Value Theorem, Antiderivatives and Differential Equations,
Parametric Equations and Polar Coordinates, True Or False and Multiple Choice
Problems.
Author(s): Veselin Jungic,
Petra Menz, and Randall Pyke
This
book explain the solution of the following two problems: obtaining of Kepler's
laws from Newton's laws and obtaining the fourth Newton's law as a corollary of
Kepler's laws. This small book is devoted to the scholars, who are interested in
physics and mathematics.
This book is intended for beginners. Topics covered includes: Fundamental
Rules for Differentiation, Tangents and Normals, Asymptotes, Curvature,
Envelopes, Curve Tracing, Properties of Special Curves, Successive
Differentiation, Rolle's Theorem and Taylor's Theorem, Maxima and Minima,
Indeterminate Forms.