11

Differential Calculus (Derivative)

LEARNING OBJECTIVES

After studying this chapter, you will be able to understand:

  • Basic concept of derivative

  • How to find derivative of a function by definition (first principle)

  • Derivative of a function by certain direct formula and its respective application

  • How to find higher order differentiation by specific algebraic method

INTRODUCTION

Differentiation is one of the most important fundamental operations in calculus. Its theory and preliminary idea is basically dependent upon the concept of limit and continuity.

Derivative is to express the rate of change in any function. Derivative means small change in the dependent variable with respect to small change in independent variable. Thus, we can say ...

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