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Ascent Arcade / Practice / Mathematical Methods / Year 11 / Introduction to calculus
Year 11 · Mathematical Methods

Introduction to calculus

Choose a subtopic, explore its examples and practise with feedback.

Choose a subtopic.

Explore introduction to calculus for Year 11. Each subtopic has sample questions and worked answers; choose the skill you want to practise.

01

Rates of change

Average rates, secants and instantaneous rates.

Examples, answers and practice
02

The derivative from first principles

Difference quotients and derivative definitions.

Examples, answers and practice
03

Differentiating powers

Polynomial derivatives and tangents.

Examples, answers and practice
04

Derivative signs and stationary points

Increasing, decreasing and classifying turning points.

Examples, answers and practice
05

Optimisation and motion

Model constraints, maxima and velocity.

Examples, answers and practice

Keep exploring.

Year 12 · Evaluating a definite integral →Year 11 · Differentiating powers and finding a tangent →
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Introduction to calculus | Year 11 Methods | Ascent Arcade