{"id":297217,"date":"2026-02-26T13:17:02","date_gmt":"2026-02-26T07:47:02","guid":{"rendered":"https:\/\/www.aakash.ac.in\/blog\/?p=297217"},"modified":"2026-03-02T11:17:59","modified_gmt":"2026-03-02T05:47:59","slug":"cbse-class-12-maths-calculus-40-marks-scoring-guide","status":"publish","type":"post","link":"https:\/\/www.aakash.ac.in\/blog\/cbse-class-12-maths-calculus-40-marks-scoring-guide\/","title":{"rendered":"CBSE Class 12 Maths Calculus: Your Ultimate 40-Mark Scoring Weapon"},"content":{"rendered":"

When approached randomly, marks are lost in steps and structure. However, if you prepare strategically, Calculus becomes the most controllable scoring section of the paper. After all, the board consistently frames it around formulas, clear working, and application-based reasoning.<\/p>\n

In this guide, our experts at Aakash break Calculus down in that exact context, aligned with weightage, recurring question patterns, and preparation strategies that actually help.<\/p>\n

Quick Exam Facts: Calculus in CBSE Class 12 Maths<\/strong><\/h2>\n

Before we break down formulas and scoring zones, you need clarity on the exam structure.<\/p>\n\n\n\n\n\n\n\n\n
Aspect<\/b><\/td>\nDetails<\/b><\/td>\n<\/tr>\n
Unit Calculus Weightage<\/strong><\/td>\n35\/80 marks (44%) [It may vary by 5-10 marks depending on the pattern of the question paper.]<\/span><\/td>\n<\/tr>\n
Chapters Included<\/strong><\/td>\n1. Continuity and Differentiability\u00a0<\/span><\/p>\n

2. Applications of Derivatives\u00a0<\/span><\/p>\n

3. Integrals\u00a0<\/span><\/p>\n

4. Applications of the Integrals\u00a0<\/span><\/p>\n

5. Differential Equations<\/span><\/td>\n<\/tr>\n

Question Types<\/strong><\/td>\nMCQs (20%), Short Answer (30%), Long Answer (50%)<\/span><\/td>\n<\/tr>\n
Application-Based Weightage<\/strong><\/td>\nApproximately 50% of the questions test the application<\/span><\/td>\n<\/tr>\n
Pro Tip<\/strong><\/td>\nStep marking matters. Even if the final answer is wrong, the correct method and formula fetch marks.<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Important Topics in Calculus (Strictly as per CBSE Syllabus)<\/strong><\/h2>\n

See, focusing on what is actually included is very important. So, it’s strictly important to align your preparation to the prescribed CBSE Class 12 Maths syllabus<\/a>.<\/p>\n\n\n\n\n\n\n\n\n\n
Unit III: Calculus<\/strong><\/td>\n<\/tr>\n
Chapter<\/strong><\/td>\nIncluded<\/strong><\/td>\nExcluded<\/strong><\/td>\n<\/tr>\n
1. Continuity and Differentiability<\/a><\/strong><\/td>\n\n
    \n
  • Continuity and differentiability<\/span><\/li>\n
  • chain rule derivative<\/span><\/li>\n
  • Derivatives of inverse trigonometric functions (sin\u207b\u00b9x, cos\u207b\u00b9x, tan\u207b\u00b9x)<\/span><\/li>\n
  • Derivatives of implicit functions<\/span><\/li>\n
  • Exponential and logarithmic functions<\/span><\/li>\n
  • logarithmic differentiation<\/span><\/li>\n
  • Second-order derivatives<\/span><\/li>\n<\/ul>\n<\/td>\n
\n
    \n
  • Derivative of composite function (separately treated conceptually beyond chain rule format)<\/span><\/li>\n
  • Rolle\u2019s Theorem<\/span><\/li>\n
  • Lagrange\u2019s Mean Value Theorem and geometric interpretation<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
2. Applications of Derivatives<\/a><\/strong><\/td>\n\n
    \n
  • Rate of change of quantities<\/span><\/li>\n
  • Increasing and decreasing functions<\/span><\/li>\n
  • Maxima and minima<\/span>\n
      \n
    • First derivative test (geometric motivation)<\/span><\/li>\n
    • Second derivative test (as a provable tool)<\/span><\/li>\n<\/ul>\n<\/li>\n
    • Simple real-life application problems<\/span><\/li>\n<\/ul>\n<\/td>\n
\n
    \n
  • Tangents and normals<\/span><\/li>\n
  • Use of derivatives in approximation<\/span><\/li>\n
  • Rate of change of bodies (specific deleted modelling problems)<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
3. Integrals<\/a><\/strong><\/td>\n\n
    \n
  • Integration as inverse process of differentiation<\/span><\/li>\n
  • Integration by substitution<\/span><\/li>\n
  • Integration by partial fractions<\/span><\/li>\n
  • Integration by parts<\/span><\/li>\n
  • Evaluation of simple integrals based on prescribed types<\/span><\/li>\n
  • Fundamental Theorem of Calculus (without proof)<\/span><\/li>\n
  • Basic properties of definite integrals<\/span><\/li>\n
  • Evaluation of definite integrals<\/span><\/li>\n<\/ul>\n<\/td>\n
\n
    \n
  • \u222b \u221a(ax\u00b2 + bx + c) dx<\/span><\/li>\n
  • \u222b (ax + b)\u221a(ax\u00b2 + bx + c) dx<\/span><\/li>\n
  • Definite integrals as a limit of a sum.<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
4. Applications of Integrals<\/a><\/strong><\/td>\n\n
    \n
  • Area under simple curves<\/span><\/li>\n
  • Lines<\/span><\/li>\n
  • Circles<\/span><\/li>\n
  • Parabolas<\/span><\/li>\n
  • Ellipses (standard form only)<\/span><\/li>\n<\/ul>\n<\/td>\n
\n
    \n
  • Area between two curves<\/span><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
5. Differential Equations<\/a><\/strong><\/td>\n\n
    \n
  • Definition, order and degree<\/span><\/li>\n
  • General and particular solutions<\/span><\/li>\n
  • Method of separation of variables<\/span><\/li>\n
  • Homogeneous differential equations (first order and first degree)<\/span><\/li>\n
  • Specific linear differential equations of prescribed type<\/span><\/li>\n<\/ul>\n<\/td>\n
\n