Skip to main content
Super TutorResources
Chapter 9 of 27
SyllabusNotesTopicsQuestionsPlanFormulas
Formula Sheet

Continuity And Differentiability — Formula Sheet

Assam CEE · Mathematics

Free Continuity And Differentiability formula sheet for Assam CEE Mathematics 2026 — all important formulas, equations, and constants for quick reference.

Interactive on Super Tutor

Studying Continuity And Differentiability? Get the full chapter — free.

Practice questions, revision notes, formula sheet and AI doubt-solver — built for Assam CEE Mathematics.

Try Super Tutor — Free
A graph of a continuous function at a specific point, showing the limit approaching the function value, illustrating that the function is unbroken and defined at that point.
Super Tutor

This is just one of 16+ visuals inside Super Tutor's Continuity And Differentiability chapter

Explore the full set

Formula Sheet — Continuity And Differentiability

Important formulas and equations from Continuity And Differentiability for Assam CEE Mathematics.

Formulas — Continuity And Differentiability

Continuity

lim(h→0) f(a+h) = lim(h→0) f(a-h) = f(a)
lim(x→a) f(x) = f(a)

Differentiability

f'(a) = lim(h→0) [f(a+h) - f(a)]/h
LHD = lim(h→0) [f(a-h) - f(a)]/(-h)
RHD = lim(h→0) [f(a+h) - f(a)]/h

Derivative Rules and Formulas

d/dx[f(x) ± g(x)] = f'(x) ± g'(x)
d/dx[f(x)·g(x)] = f'(x)·g(x) + f(x)·g'(x)
d/dx[f(x)/g(x)] = [f'(x)·g(x) - f(x)·g'(x)]/[g(x)]²
d/dx[f(g(x))] = f'(g(x))·g'(x)

Inverse Trigonometric Functions

d/dx(sin⁻¹x) = 1/√(1-x²)
d/dx(cos⁻¹x) = -1/√(1-x²)
d/dx(tan⁻¹x) = 1/(1+x²)
d/dx(sec⁻¹x) = 1/(|x|√(x²-1))

Get the complete formula sheet with derivations — continue in Super Tutor

Frequently Asked Questions

What topics are covered in Continuity And Differentiability for Assam CEE?
Continuity And Differentiability is an important chapter in Assam CEE Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Continuity of Functions, Differentiability of Functions, Derivatives of Inverse Trigonometric Functions, Exponential and Logarithmic Functions.
How important is Continuity And Differentiability for Assam CEE?
Continuity And Differentiability is a frequently tested chapter in Assam CEE Mathematics. Questions from this chapter appear regularly in previous year papers. There are 455 practice questions available for this chapter.
How to prepare Continuity And Differentiability for Assam CEE?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

More resources for Continuity And Differentiability

All 27 chapters — Assam CEE Mathematics Formula Sheet

For Assam CEE aspirants

Get the full Continuity And Differentiability chapter — for free.

Practice questions, revision notes, formula sheet and AI doubt-solver for Assam CEE Mathematics.

Try Super Tutor Free
Try the full chapter — Free