Introduction to Differentiation : Introduction to Differentiation
Constant Functions : Constant Functions If a body moves at constant speed, then
If a body moves at constant acceleration, then
Real Situations : Real Situations
Real Situations : A Real Situations
Slope of Tangent : Slope of Tangent The slope of the tangent of the graph at A gives the instantaneous rate of change of the dependent variable with respect to the independent variable.
Derivative as Limit : Derivative as Limit The process of finding the rate of change, at A, of the dependent variable with respect to the independent variable by taking the tangent to be the limiting position of the chord AB as B approaches A along the curve, is known as differentiation.
The ratio of the rate of change of the dependent variable to that of the independent variable is known as the derivative.
Derivative as Limit : Derivative as Limit If we assume A to be (x, f(x)) and B to be (x+h, f(x+h)) then the derivative is given by
Nomenclature and Notation : Nomenclature and Notation The derivative is also called the differential coefficient.
The process of finding a derivative is known as differentiation.
The derivative of y=f(x)with respect to x is denoted as
First Principles : First Principles
Standard Results 1 : Standard Results 1
Standard Results 2 : Standard Results 2
Algebra of Differentiation 1 : Algebra of Differentiation 1 Sum/Difference
Product
Quotient
Algebra of Differentiation 2 : Algebra of Differentiation 2 Coefficients
Composite functions/ chain rule
Examples : Examples
Examples : Examples
Assignment 1Sum, Difference and Product Rules : Assignment 1Sum, Difference and Product Rules
Examples : Examples
Examples : Examples
Assignment 2Quotient Rule : Assignment 2Quotient Rule
Examples : Examples
Examples : Examples
Assignment 3Chain Rule : Assignment 3Chain Rule