Differential Calculus
Explore the principles of calculus including limits, notation, differentiation, second derivatives, optimization problems, and more, in order to gain a solid understanding of mathematical functions and graphing.
The Tale of Achilles and the Tortoise
Limits
Notation
Gradient at a Point
Differentiation From First Principles
Rules For Differentiation
Equation of a Tangent to a Curve
Second Derivative
Functions of the Form \(y = ax^{3} + bx^{2} + cx + d\)
Intercepts
Stationary Points
Sketching Cubic Graphs
Interpreting Graphs
Optimisation Problems
Rates of Change
Summary and Main Ideas