Concepts of Functions and Calculus

Concepts of Functions and Calculus

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ISBN:
9789339203382
author:
Vikas Rahi
origin:
India
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About Book

Concept of functions & calculus is a popular book on this topic. It is aimed specifically at aspirants appearing for the jee examination and has been prepared to enable mastery of the subject. This revised second edition comes with additional theory, problems, illustrations and graphs to ensure that the readers strengthens their concepts while having a sufficient number of problems for practice. With a judicious mix of conceptual, analytical and graphical methods, the aim is to cover all possible aspects of the topic in an easily understandable format.

Table of Content

part 1: 

differentiation fundamentals function limits and continuity differentiation and differentiability fundamental rules of differentiation differentiation of function of functions differentiation of implicit functions differentiation of inverse functions parametric functions logarithmic differentiation miscellaneous exercises on differentiation l'hospital's rule dydx as a rate measurer tangents and normals maxima and minima of a function rolle's and lagrange's theorem.

part 2:

integration integration as the inverse process of differentiation and integration by transformation integration by substitution integration by parts integration of rational functions integration of standard rational and irrational functions integration of trigonometric functions integration of certain irrational expressions miscellaneous definite integration integration as the limit of a sumarea differential equations application of differential equations of first order differential equations of first order.

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