Limits and Derivatives — Class 11 CBSE Mathematics revision notes
A 4-page visual revision sheet for Limits and Derivatives, written for Class 11 CBSE Mathematics. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.
What this Limits and Derivatives sheet covers
- What a limit means
- Algebra of limits
- sum/difference
- product
- quotient, provided lim_xto ag(x)≠0
- constant multiple
- Worked: a limit by factoring
- Limits of trigonometric functions
- the key one, x in radians
- follows from the one above
- a related limit
- a different power of x
- Evaluating a limit: which technique
- Approaching a ceiling
- The derivative, defined as a limit
- The tangent as a limit
- Worked: derivative of x² from first principles
- Rules of differentiation
- a constant
- power rule
- Product and quotient rules
- product rule
- quotient rule, g(x)≠0
- Derivatives worth knowing by heart
- sin x
- cos x
- tan x
- a constant function
- Symbols
- Traps that cost marks
- Tricks that save time
How CapCompass uses this sheet
These notes are not a standalone PDF. CapCompass plans Mathematics chapter by chapter against your real exam dates and free hours, and when the plan reaches Limits and Derivatives the sheet opens inside the study block itself — at the page covering the sub-topic that block is on, with the timer still running. Revision arrives at the moment the plan says revise, instead of having to be gone looking for.