Calculus · Class 11 Applied Mathematics · Chapter 4
🔢 Calculus
CBSE Class 11 Humanities & Commerce · Applied Mathematics · Chapter 1
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📖Notes Deck
Full lecture deck with teaching paragraphs, misconception red-boxes, and glossary. Read this first.
Download PDF →📝Quick Drill
15 pattern-tagged MCQs with per-Q time budget. Drill under a 20-min timer.
Download PDF →📄Exam Paper
Full exam-pattern paper with sections. Sit it closed-book before checking the marking scheme.
Download PDF →✅Marking Scheme + Topper Templates
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Download PDF →⚡Cheat Sheet
1-page exam-day card: key points, top question patterns, 90-minute revision flow.
Download PDF →👨👩👧For Parents
1-page plain-language parent guide: what's being learned + questions to ask your child.
Download PDF →Top question patterns · CBSE annual / SQP aggregate
| 95% | Differentiate using power / product / quotient / chain rule — Identify the structure (sum, product, quotient, composite) · pick the matching rule · for chain rule never forget the inner derivative · simplify. | 3 MARKS |
| 85% | Evaluate a limit (including 0/0 by factorisation) — Substitute first; if 0/0, factorise top and bottom, cancel the common factor, then substitute again. | 3 MARKS |
| 75% | Marginal cost / marginal revenue and interpret — MC = dC/dx, MR = dR/dx · differentiate · evaluate at the given output · close with a one-line economic interpretation. | 3 MARKS |
| 70% | Maxima / minima using the derivative tests — Set f'(x) = 0 for stationary points · use f''(x): negative ⇒ max, positive ⇒ min · compute the actual extreme value · state which is which. | 5 MARKS |
| 60% | Functions (domain/range) or first-principles derivative — Domain: exclude division-by-zero, negative roots, non-positive log arguments. First principles: apply the [f(x+h)−f(x)]/h limit carefully. | 2 MARKS |
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