Maths › Differentiation

Differentiation

Where change gets measured. Shrinking chords turn into tangents, the gradient of a curve becomes a function in its own right, and with it come maxima, minima and the machinery behind every optimisation in the course.

Years 12-13 · 7 topics.

• The derivative from first principles
• Differentiating powers of x
• Tangents, turning points and curve behaviour
• Differentiating trig, exponentials and logsWRITING
• The product, quotient and chain rulesWRITING
• Implicit and parametric differentiationWRITING
• Rates of change and building differential equationsWRITING