0
17 years of experience17 years of Excellence
SUBJECTS
ADV. SEARCH
Indian Books on Discounts
  Differential Calculus
 

Differential Calculus

by Vinay Kumar

  Price : Rs 350.00
  Your Price : Rs 315.00
Discount
10
In Stock
  Differential Calculus is a comprehensive theory cum practice book that aims to acquaint aspirants with all aspects of the topic. It helps sharpen the problem solving skills in Calculus through solved and unsolved problems. The solutions to the problems are supported by time saving strategies and tips to avoid mistakes while applying the laws of Calculus.

Table of Contents
1. Limit

Introduction
Concept of Infinity
Theorems on Limits
One-sided limits
determinate and Indeterminate Forms
Factorisation and Cancellation of Common Factors
Rationalization
Limit Using Exapnasion Series of Functions
Standard of Limits
Algebra of limits
Limits when (Some function)
Asymptotes
Limits of a Sequence
Limits of Forms
Sandwich Theorem / Squeeze Play Theorem
L`Hospital`s Rule
Geometerical Limits
Miscellaneous Limits
Target Problems
Things to Remember
Exercises
Answers

2. Continuity of Functions

Definition of Continuity
Continuity in an Interval
Classification of Discontinuity
Algebra of Continous Functions
Properties of Functions Continous on a Closed Interval
Intermediate Value Theorem
Target Problems
Things to Remember
Exercises
Answers

3. Differentiability

Introduction
Differentiability
Reasons of Non-differentiability
Relation between Continuity and Differentiability
Derivability at Endpoints
Differentiability over an interval
Alternative limit form of the Derivative
Derivatives of Higher Order
Algebra of Differentiable Functions
Functional Equations
Target Problems
Things to Remember
Exercises
Answers

4. Methods of Differentiation

Introduction
Derivative using First principle (ab initio) Method
Derivative of Standard Functions
Rules of Differentiation
The Chain Rule
Logarithmic Differentiation
Derivative of Inverse Functions
Parametric Differentiation
Differentiation of Implicit Functions
Differentiation by Trigonometric Substitution
Derivatives of Higher Order
Successive Differentiation
Derivative of a Determinant
Properties of Derivative
L`Hospital Rule
Target Problems
Things to Remember
Exercises
Answers

5. Tangent and Normal

Introduction
Rate Measurement
Approximation
Error
Tangent and Normal
Angle of Intersection
Common Tangents
Length of Tangent
Target Problems
Things to Remember
Exercises
Answers

6. Monotonicity

Definitions
Monotonicity over an interval
Critical Point
Intervals of Monotonicity
Monotonicity in Parametric Functions
Algebra of Monotonous Functions
Proving Inequalities
Concavity and Point of Inflection
Target Problems
Things to Remember
Exercises
Answers

7. Maxima and Minima

Introduction
Concept of Local Maxima and Local Minima
Fermat Theorem
The First Derivative Test
The First Derivative Procedure for Sketching the Graph of a Continous Function
Second Derivative Test
Higher Order Derivative Test
Extrema of Parametric Functions
Operations on Functions having points of Extrema
Global Maximum and Minimum
Boundedness
Algebra of Global Extrema
Miscellaneous Methods
Optimisation Problems
Asymptotes
Points of Inflection
Curve Sketching
Isolation of Roots
Rolle`s Theorem
Deductions of Rolle`s Theorem
Lagrange`s mean Value Theorem
Corollaries of LMVT
Related Inequalities
Cauchy`s Mean Value Th isbn
9781259003530
 


Credit Cards
Payment accepted by All Major Credit and Debit Cards, Net Banking, Cash Cards, Paytm, UPI, Paypal. Our payment gateways are 100% secure.
Check Delivery
Books by Same Author
25%
Pura-Mimansa studies in indian art archaeology and tradition (Prof. J.N. Pal festschrift  (Set of 2 Vols)
by Anil kumar Dubey & Vinay kumar, brijesh rawat
20%
Adhunik Audhyogik Evam Sangathanatamak Manovigyan: Modern Industrial and Organizational Psychology
by Muhammad Suleman, Vinay Kumar Choudhary
12%
Test Bank in Biology (Multiple Choice Questions), 1st Edi.
by Vinay Kumar
13%
Universal`s Guide to Delhi Judicial Service (Preliminary Examination 2011) (Multiple Choice Question Bank), 6th Revised Edn.
by Gupta Vinay Kumar
13%
Universal`s Multiple Choice Questions for Judicial Service Examination, 8th Edn. (Reprint) (2014)
by Gupta Vinay Kumar
Books of Similar Interest
10%
BOMBAY: METAPHOR OIP
by SUJATA PATEL & ALICE THORNER
15%
Microfinance Management - Edition 01
by Mishra
10%
Principles of Posterior Fossa Surgery
by Anil Nanda
20%
World Famous Psychologists
by N V S Suryanarayana
15%
Documentum 6.5 Content Management Foundations
by Pawan Kumar
Best Book Mart
Support

Call Us Phone : +91-9266663909
Email Us Email : support [at] bestbookmart.com
Working Hours Timing : 10:00 AM to 6:00 PM (Mon-Fri)
Powered By
CCAvenue
SSL Protection