Study Guide
Differentiation Basics: The Power Rule
Introduces the derivative as a gradient function and sets out the power rule for differentiating polynomials, including negative and…
- Difficulty
- Level 3 · Challenge
- Time
- 20 min
Free Calculus Worksheets — All Year Levels
13 free calculus resources. Differentiation and integration. Typically taught from Year 11 to Year 12.
- Study Guide
Differentiation: Product, Quotient and Chain Rules
An HSC/VCE-style study guide to the three rules that let you differentiate products, quotients and composite functions. Each worked…
- Difficulty
- Level 3 · Challenge
- Time
- 30 min
- Worksheet
Year 11 Differentiation (Power Rule) Worksheet — Level 1
Differentiate polynomial functions using the power rule. Builds confidence with the core skill before adding complexity. This Year 11…
- Difficulty
- Level 1 · Easier
- Time
- 15 min
- Questions
- 10 questions
- Answers
- Answers included
- Worksheet
Year 11 Differentiation (Power Rule) Worksheet — Level 2
Differentiate polynomial functions using the power rule. Expected-level practice for this year group. This Year 11 worksheet has 10…
- Difficulty
- Level 2 · Standard
- Time
- 15 min
- Questions
- 10 questions
- Answers
- Answers included
- Study Guide
Applications of Differentiation: Stationary Points and Optimisation
An HSC/VCE-style study guide to using the first and second derivatives to find and classify stationary points and points of inflection,…
- Difficulty
- Level 3 · Challenge
- Time
- 30 min
- Study Guide
Integration and Area Under Curves
An HSC/VCE-style study guide to definite integrals and area: the standard integrals, the fundamental theorem of calculus, areas below the…
- Difficulty
- Level 3 · Challenge
- Time
- 30 min
- Study Guide
Integration Basics
Introduces integration as the reverse of differentiation, sets out the power rule for integrating, explains the constant of integration,…
- Difficulty
- Level 3 · Challenge
- Time
- 20 min
- Worked Examples
HSC/VCE-style Calculus Practice with Worked Solutions
Ten exam-style calculus questions covering differentiation (product, quotient and chain rules with exponentials, logarithms and…
- Difficulty
- Level 3 · Challenge
- Time
- 30 min
- Questions
- 10 questions
- Answers
- Answers included