About this course
Video lessons on the DIFFERENTIATION topic. Among the areas covered are: Average and Instantaneous Rates of Change, Gradient of a Curve at a Point, Delta Notation, The Derivative of a Polynomial, Equations of Tangents and Normals to a Curve, Stationery Points, Curve Sketching, Application of Differentiation in Calculation of Velocity and Acceleration, Maxima and Minima, among others.
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Definition of the Derivative
Derivatives-General Method
Average Rate of Change of a Function Over an Interval
Average and Instantaneous Rates of Change
Average and Instantaneous Rate of Change of a Function Over an Interval and a Point
Differentiation by First Principle
Finding Gradient at a Point on a Curve
Slope and Equation of Normal and Tangent Line of Curve at Given Point
dt - Derivative Notations
Polynomial Function
First Derivative-Polynomials
Equation of Tangent and Normal to the Curve
Equations of the Curve When Gradient Function is Given
Stationary Points
Finding Stationary Points
Determining the Nature of the Stationary Point
Stationary Points
Graphing Functions Using Derivatives
Graphing Rational Functions and Asymptotes
Curve Sketching - Application of Differentiation
Position, Velocity, and Acceleration Using Derivatives
Velocity, Acceleration and Distance
Maxima and Minima
Maxima and Minima - Differentiation for Optimisation
Finding Local Maxima and Minima
Application of Maxima and Minima
Maxima and Minima- Word Problems
