Formula Cheat Sheet for CBSE Class 12 Mathematics
Official 100% syllabus-accurate formula sheet for exam revision.
1. Matrices & Determinants
Matrix Inverse FormulaA⁻¹ = (1 / |A|) adj(A)
Determinant Product|AB| = |A| · |B|
Transpose Product(AB)ᵀ = Bᵀ Aᵀ
Inverse Product(AB)⁻¹ = B⁻¹ A⁻¹
2. Calculus & Derivatives
Derivative of sin xd/dx (sin x) = cos x
Derivative of e^xd/dx (e^x) = e^x
Product Ruled/dx (uv) = u'v + uv'
Quotient Ruled/dx (u/v) = (u'v − uv') / v²
3. Integrals & Integration Techniques
Power Rule Integral∫ xⁿ dx = x^{n+1} / (n + 1) + C
Logarithmic Integral∫ (1/x) dx = ln|x| + C
Standard Tan Integral∫ 1/(a² + x²) dx = (1/a) tan⁻¹(x/a) + C
Integration by Parts∫ u dv = uv − ∫ v du
4. Differential Equations & Vectors
Integrating Factor (I.F.)I.F. = e^{∫ P dx} for dy/dx + Py = Q
Dot Producta · b = |a||b| cosθ
Cross Producta × b = |a||b| sinθ n̂
Line in 3Dr = a + λb