Continuity & Differentiability

Formulas are organized based on their importance in the CAT exam.
1 Differentiability at a Point
2 Continuity at a Point
3 Continuity and Differentiability of Max/Min
4 Rolle's Theorem
5 Intermediate Value Theorem (IVT)
6 Algebra of Continuous Functions
7 Continuity and Differentiability of |x|
8 Derivative of Inverse Function
9 Standard Limits for Continuity
10 Chain Rule
11 Left-hand and Right-hand Derivatives
12 Lagrange's Mean Value Theorem (MVT)
13 L'Hôpital's Rule
14 Differentiability Implies Continuity