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Formula Sheet

Limits And Derivatives — Formula Sheet

MHT-CET · Mathematics

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

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An infographic summarizing the fundamental rules for derivatives of sum, difference, product (Leibnitz rule), and quotient of functions.
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Formula Sheet — Limits And Derivatives

Important formulas and equations from Limits And Derivatives for MHT-CET Mathematics.

Formulas — Limits And Derivatives

Limits - Basic Definition and Evaluation

lim_{x→a} f(x) = l
lim_{x→a⁻} f(x) = lim_{x→a⁺} f(x) = l
lim_{x→∞} (a₀xᵐ + ...)/(b₀xⁿ + ...) = a₀/b₀ if m=n

Standard Limits - Trigonometric

lim_{x→0} (sin x)/x = 1
lim_{x→0} (tan x)/x = 1
lim_{x→0} (1-cos x)/x = 0
lim_{x→0} (1-cos x)/x² = 1/2

Exponential and Logarithmic Limits

lim_{x→0} (e^x - 1)/x = 1
lim_{x→0} (a^x - 1)/x = ln a
lim_{x→0} ln(1+x)/x = 1
lim_{x→0} (1+x)^(1/x) = e

Derivatives - First Principles

f'(x) = lim_{h→0} [f(x+h) - f(x)]/h
f'(a) = lim_{x→a} [f(x) - f(a)]/(x - a)
f'(x) = lim_{h→0} [f(x+h) - f(x-h)]/(2h)

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Frequently Asked Questions

What topics are covered in Limits And Derivatives for MHT-CET?
Limits And Derivatives is an important chapter in MHT-CET Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: 12.1 Introduction to Limits, 12.2 Algebra of Limits, 12.3 Limits of Polynomial and Rational Functions, 12.4 Trigonometric Limits.
How important is Limits And Derivatives for MHT-CET?
Limits And Derivatives is a frequently tested chapter in MHT-CET Mathematics. Questions from this chapter appear regularly in previous year papers. There are 393 practice questions available for this chapter.
How to prepare Limits And Derivatives 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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