Continuity and Differentiability

Mathematics · Chapter 5 · Unit 3: Calculus

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Your path through this chapter

1
Visual lesson Beta
1. Part 1: Continuity, discontinuity and differentiability21 slides
2. Part 2: Derivatives and the chain rule19 slides
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Notes Beta
6 sections with key terms, formulas and exam tips.
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Flashcards Beta
30 cards for quick recall of key terms and facts.
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Practice
71 board-style questions with instant checks: Multiple choice 26, Short answer 20, Long answer 6, Numerical 6.
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5
Chapter test Free
Short and long chapter tests in board pattern, with results and analysis.
- Chapter test (long) — Continuity and Differentiability · 40 marks · 100 min
- Chapter test (short) — Continuity and Differentiability · 20 marks · 50 min
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Continuity of a function at a point and in an interval; algebra of continuous functions
Discontinuity; removable discontinuity and its types
Differentiability; relation between continuity and differentiability; examples such as |x| and [x]
Derivatives of trigonometric, exponential and logarithmic functions; chain rule for composite functions
Derivatives of inverse trigonometric functions; differentiation by trigonometric substitution