Differential Calculus With Applications And Numerous Examples

AN EXACT REPRODUCTION OF THE ORIGINAL PUBLICATION, INCLUDING ALL FIGURES, APPLICATIONS, AND EXAMPLES - Chapters: Definitions, Limits - Object Of Calculus - Illustrations And Fundamental Principles - Undetermined Forms - Four Important Undetermined Forms - Hyperbolic Functions - Infinitesimals - Fundamental Propositions - Tangent To A Curve - Different Coefficients - Aspect As A Rate Measurer - Constant, Sum, Product, Quotient - Function Of A Function - Inverse Functions - Standard Forms - Successive Differentiations - Expansions - Partial Differentiation - Tangents And Normals - Asymptotes - Singular Points - Curvature - Envelopes - Curve Tracing - Application To The Evaluation Of Singular Forms And Maxima And Minima Values: Undetermined Forms - One Independent Value - Elementary Methods - The General Problem - On The Properties Of The Cycloid, Etc., Etc.