ALGEBRA

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ALGEBRA Differential Calculus Applications

Author Name: Dr. V. Ramakrishnan, Dr. G. Sivakumar | Format: Paperback | Genre : Educational & Professional | Other Details

This book on Differential Calculus deals with the basics as well as its applications in a lucid manner. The following topics are covered extensively in this book. Derivative as rate of measure, Related Rates, Chain rule, Derivative as a measure of slope (Tangent and Normal), Angle between two curves, Mean value theorems and applications, Rolle’s Theorem Mean Value Theorem (Law of mean due to Lagrange), Generalized law of mean (Cauchy’s generalized law), Extended law of mean, Taylor’s theorem, Maclaurin’s Series, Evaluating Indeterminate forms, l’Hȏpital’s rule, Monotonic Functions, Maximum and Minimum values Applications of maximum and minimum values, Extreme value theorem , Fermat’s Theorem Local maximum value, Local minimum value , Critical numbers, Stationary points, Practical problems involving maximum and minimum values, Concavity (convexity) and points of inflection. This book will be very useful as a self learning tool for students in X, XI and XII standard.