Differentiation ā Class 11 Maharashtra HSC Mathematics revision notes
A 4-page visual revision sheet for Differentiation, written for Class 11 Maharashtra HSC 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 Differentiation sheet covers
- Rate of change, and the definition of the derivative
- Left-hand and right-hand derivatives
- Worked: derivative of the square root, from first principle
- Worked: derivative of sin x at a named point
- Derivatives of standard functions, from first principle
- A tangent on a falling curve
- Differentiability and continuity
- Worked: |x| is continuous but not differentiable at 0
- Sum, difference and constant-multiple rules
- sum
- difference
- constant multiple, for any real k
- Where the product rule comes from
- Product and quotient rules
- product rule
- quotient rule, vā 0
- Worked: differentiating a sum of three shapes
- Worked: the quotient rule on an exponential ratio
- Worked: continuous but not differentiable at a joint
- Reading the chapter together
- 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 Differentiation the sheet opens inside the study block itself ā 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.