Continuity and Differentiability
Class 12 Maths Continuity and Differentiability — continuity, differentiability, chain rule, implicit differentiation, parametric differentiation, logarithmic differentiation, second-order derivatives, Rolle's and Lagrange's Mean Value Theorems.
Study by topic — one focused page each
Continuity of a Function
Informally, a function is continuous if you can draw its graph without lifting your pen — no breaks, jumps or holes. The precise definition pins that …
Start this topic → 2Differentiability & the Chain Rule
The derivative of at is the limit of the average rate of change as the interval shrinks to a point: provided this limit exists. Geometrically is the s…
Start this topic → 3Implicit, Logarithmic & Parametric Differentiation
Not every relation is handed to us as . Three techniques — implicit, logarithmic and parametric differentiation — extend the machinery to relations wh…
Start this topic →Chapter-wide tests
Online Test
10 MCQ • 20 min
IMO / Olympiad Practice
Olympiad level • 20 min
📝 Full Chapter Test (Download & Print)
35 marks • 75 min • with answer key