This note explains the following topics:
Differentiation from first principles, Differentiating powers of x,
Differentiating sines and cosines, Differentiating logs and exponentials, Using
a table of derivatives, The quotient rule, The product rule, The chain rule,
Parametric differentiation, Differentiation by taking logarithms, Implicit
differentiation, Extending the table of derivatives, Tangents and normals,
Maxima and minima.
The contents include: Introduction, Proof by
induction, Complex numbers, Trigonometric and hyperbolic functions, Functions,
limits and differentiation, Integration, Taylor’s theorem and series,
Exercises.
Author(s): ACC Coolen, Department of
Mathematics, King’s College London
This note explains the following topics:
Differentiation from first principles, Differentiating powers of x,
Differentiating sines and cosines, Differentiating logs and exponentials, Using
a table of derivatives, The quotient rule, The product rule, The chain rule,
Parametric differentiation, Differentiation by taking logarithms, Implicit
differentiation, Extending the table of derivatives, Tangents and normals,
Maxima and minima.
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.