Class XII Mathematics
Chapter 5: Continuity and Differentiability
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Syllabus Sections
Key Formulas & Equations
Click Copy to duplicatePower Rule of Differentiation
\frac{d}{dx}(x^n) = n x^{n-1}
Differentiates exponential variable functions.
The Chain Rule
\frac{dy}{dx} = \frac{dy}{du} \cdot \frac{du}{dx}
Differentiates nested composite functions.
Related Formulas from Adjacent Chapters
Matrix Inverse Formula
A^{-1} = \frac{1}{|A|} \text{adj}(A)
[From Matrices and Determinants] Inverse of square matrix A using determinant and adjoint.
Determinant Expansion 2x2
\begin{vmatrix} a & b \\ c & d \end{vmatrix} = ad - bc
[From Matrices and Determinants] Evaluation of 2x2 determinant.
Integration by Parts
\int u v \, dx = u \int v \, dx - \int (u' \int v \, dx) \, dx
[From Integrals] Rule for integrating product of two functions.