Year 12 Maths Advanced (2027)

Applications of calculus

14 subtopics

280+ questions

Subtopics

14 subtopics · Sorted by recommended order

1

Differentiability & Continuity

20 questions

2

The First Derivative & the Sign of f'(x)

20 questions

3

The Second Derivative

20 questions

4

Stationary Points & the First Derivative Test

20 questions

5

Concavity & Points of Inflection

20 questions

6

Curve Sketching using Calculus

20 questions

7

Sketching Derivative & Second-Derivative Graphs

20 questions

8

Global Maxima & Minima

20 questions

9

Optimisation Problems

20 questions

10

Rates of Change with Differentiation

20 questions

11

Rates of Change with Integration

20 questions

12

Exponential Growth & Decay

20 questions

13

Displacement, Velocity & Speed

20 questions

14

Velocity & Acceleration as Derivatives

20 questions