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Maharashtra Board Class 12 Mathematics & Statistics -Commerce — Formula Sheet

Maharashtra Board Class 12 Mathematics & Statistics -Commerce formula sheet, chapter by chapter — 91 formulas across 14 chapters.

How to Use the Formula Sheet

  1. Write, don't just read — writing each formula out helps it stick.
  2. Understand the derivation — you can rebuild a formula you half-remember.
  3. Group related formulas — link the ones that build on each other.
  4. Test yourself — cover the sheet and write the formulas from memory.

Chapter-Wise Formulas — 14 Chapters

2

Commission Brokerage and Discount

6 entries
If y = f(u) and u = g(x), then dy/dx = (dy/du) × (du/dx)
If y = f(x) and x = f⁻¹(y), then dx/dy = 1/(dy/dx)
Essential for functions of the form y = [f(x)]^g(x)
For y = f(g(x)), dy/dx = f'(g(x)) × g'(x).
Used for functions of the form y = [f(x)]^(g(x)) or complex products/quotients.
The full Commission Brokerage and Discount formula sheet
3

Matrices

3 entries
Add/subtract corresponding elements: (A ± B)ij = aij ± bij
Matrices A(m×n) and B(p×q) can be multiplied only if n = p
Element (AB)ij = Σ(aik × bkj) for k=1 to n
The full Matrices formula sheet
4

Insurance and Annuity

8 entries
Equation of tangent: y - y₁ = m(x - x₁)
Chain rule is essential: dy/dt = (dy/dx) × (dx/dt)
Rolle's Theorem: If f is continuous on [a,b], differentiable on (a,b), and f(a) = f(b), then ∃c ∈ (a,b) such that f'(c) = 0
LMVT: If f is continuous on [a,b] and differentiable on (a,b), then ∃c ∈ (a,b) such that f'(c) = [f(b)-f(a)]/(b-a)
At any point P(x₁, y₁) on curve y = f(x), the slope of tangent = dy/dx|(x₁,y₁) and slope of normal = -1/(dy/dx)|(x₁,y₁).
The full Insurance and Annuity formula sheet

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Formula sheets for all 14 chapters with formulas.

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Frequently Asked Questions

Where can I find Maharashtra Board Class 12 Mathematics & Statistics -Commerce Formula Sheet?

This page has formula sheet for 14 chapters of Maharashtra Board Class 12 Mathematics & Statistics -Commerce for the board exams 2027. Each chapter links to its own page with the full set.

Go through the syllabus first, then work chapter by chapter: learn the ideas, practise questions, and revise with notes and flashcards. Leave time at the end to revise every chapter once more under timed conditions.

Learn the formulas you use most first, and understand what each symbol means so you can apply them. Knowing where a formula comes from helps you rebuild it if you forget it in the exam.

Browse Formula Sheet by Chapter

14 chapters

2

Commission Brokerage and Discount

3

Matrices

4

Insurance and Annuity

5

Differentiation

6

Linear Regression

7

Applications of Derivatives

8

Time Series

9

Integration

10

Index Numbers

11

Definite Integration

13

Application of Definite Integration

14

Assignment Problem and Sequencing

15

Differential Equation and Applications

16

Probability Distributions

More Mathematics & Statistics -Commerce Resources

Maharashtra Board Class 12

Practice Quiz

Test yourself with quick quizzes

Important Questions

Exam-style questions with answers

Revision Notes

Key concepts and quick revision points

Chapter Summary

Understand each chapter at a glance

Flashcards

Quick-fire cards for active recall practice

Syllabus

Chapter list and the topics in each

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