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Applications of Derivatives
Mathematics · Chapter 7 · Unit 3: Calculus
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Your path through this chapter
Visual lesson Beta
- Part 1: Rates, monotonicity, tangents and normals19 slides
- Part 2: Maxima, minima and optimisation18 slides
Flashcards Beta
30 cards for quick recall of key terms and facts.
Review the cards Step 3: Not startedPractice
68 board-style questions with instant checks: Multiple choice 26, Short answer 19, Long answer 6, Numerical 6.
Practise Step 4: Not startedChapter test Free
Short and long chapter tests in board pattern, with results and analysis.
Step 5: Not started- Chapter test (long) — Applications of Derivatives · 40 marks · 100 min
- Chapter test (short) — Applications of Derivatives · 20 marks · 50 min
Topics 6
- Rate of change (rate measure) of quantities
- Increasing and decreasing functions
- Equations of tangent and normal; angle between two curves
- Critical, stationary and turning points; local maxima and minima by first and second derivative tests
- Absolute maxima and minima on a closed interval
- Application problems on maxima and minima from geometry and real life