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Formula Sheet

Continuity And Differentiability — Formula Sheet

MHT-CET · Mathematics

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

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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.
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Formula Sheet — Continuity And Differentiability

Important formulas and equations from Continuity And Differentiability for MHT-CET 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))

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Frequently Asked Questions

What topics are covered in Continuity And Differentiability for MHT-CET?
Continuity And Differentiability is an important chapter in MHT-CET 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 MHT-CET?
Continuity And Differentiability is a frequently tested chapter in MHT-CET 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 MHT-CET?
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.

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