Derivatives and its relation with continuity

Abstract

Abstract:Derivative is an important part in mathematics. The derivative of a function y = f(x) with respect to x ix denoted by dy/dx or y' or f'(x) etc. The derivative dy/dx has two aspects(Interpretations): One is the geometrical and next physical. In geometrical aspect dy/dx measures the slope of the curve y = f(x) at a point (x, y) and in physical aspect dy/dx measures the rate of change of y = f(x) with respect to x.