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Sudeshna Das – As a Student of Differential Calculus
Sudeshna Das1
Introduction
Calculus is the study of rate and speed of change of a quantity. The term “Rate of change” is known as Rate. It is a measure of change of any Quantity such as Length, Mass, Area, Volume, Pressure, Temperature, and also Speed of a moving or a still object. The amount of change is called “Rate” or Rate of change.
Calculus has been called the “Queen of the Sciences” by Hutton. It’s used in all branches of science, engineering, and medicine.
The study of calculus can be divided into many parts. As an example, calculus of one variable is used in the analysis of mechanical systems. The parts of calculus will be studied in greater detail in the coming sections.
Outline
Differential Calculus
Concepts of a Function
Derivative
Derivative rules
Absolute and Relative Maximum and Minimum
Implicit and Explicit Differentiation
Applications of calculus
Cantor’s Set Theory
Derivatives of Exponential Functions
Exponential Equations
Euler’s Formula
Logarithmic Equations
Differentiation Rules
Logarithmic Functions
Trigonometry Functions
Applications
Integrals and Infinite Limits
Integration Rules
Trigonometric Functions
Calculus of Variables
Trigonometric Identities
Applications
Methods of Calculating the Areas of Curves
Method of Rectangles
Application of Taylor Series
Applications of polynomials
Linear Approximation
Second Derivatives
Inflection Points
Applications
Applications of Exponential and Logarithmic Functions
Applications of Rational Functions
Applications of Taylor Series
Applications of Infinite Series
Solution Of Differential Calculus By Das And Mukherjee Pdf Free Download
Solution Of Differential Calculus By Das And Mukherjee Pdf Free Downloadl
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