This module covers the CAPS Grade 12 topic on Differential Calculus.

There are 15 lessons. For each lesson there is an instructional video, a consolidation quiz and a full set of solutions.

Here are the details for each lesson:

Calculus 1: Concept of a limit; basic properties of limits

Calculus 2: Determine various limits

Calculus 3: Tangent to a curve; the definition of the derivative

Calculus 4: Determine the derivative from first principles

Calculus 5: The power rule for differentiation

Calculus 6: Variations in notation for the first derivative; the power rule

Calculus 7: Determine the equation of the tangent to a curve at a given point

Calculus 8: Problems on equation of tangent to a curve at a point

Calculus 9: Determine when a function is increasing, decreasing, stationary

Calculus 10: Second derivative of a function; concavity

Calculus 11: Variations in notation for the second derivative; second derivatives

Calculus 12: Classify stationary points as maximum, minimum, or point of inflection

Calculus 13: Finding the stationary points of a function

Calculus 14: Sketch the graph of a cubic function

Calculus 15: Problems of optimisation; calculus of motion