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Engineering Mathematics by C. Vijayakumari, P. Sivaramakrishna Das

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3

Differential Calculus

3.0 Introduction

Calculus is one of the remarkable achievements of the human intellect. It is a collection of fascinating and exciting ideas rather than a technical tool.

Calculus has two main divisions namely differential calculus and integral calculus. They serve to solve a variety of priblems that arise in science, engineering and other fields including social sciences.

Differential calculus had its origin from the problem of tangent to a curve and integral calculus had its origin from the problem of finding plane area. The concept of derivative which measure the rate of change of a function is the central idea in differential calculus.

We assume that the reader is familiar with the basic concepts of limit, continuity ...

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