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Formula Sheet

Application Of Derivatives — Formula Sheet

CUET (UG) · Mathematics

All important formulas from Application Of Derivatives for CUET (UG) Mathematics. Quick reference for revision and problem solving.

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A graph of a function y=f(x) with a tangent line at a point (x, y), illustrating dy/dx as the slope of the tangent.
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Formula Sheet — Application Of Derivatives

Important formulas and equations from Application Of Derivatives for CUET (UG) Mathematics.

Formulas — Application Of Derivatives

Rate of Change of Quantities

dy/dx = rate of change of y with respect to x
dy/dx = (dy/dt) × (dt/dx) where dx/dt ≠ 0

Increasing and Decreasing Functions

f'(x) > 0 ⟹ f is increasing on interval
f'(x) < 0 ⟹ f is decreasing on interval
f'(x) = 0 ⟹ f is constant on interval

Critical Points and Stationary Points

f'(x) = 0 at critical points

First Derivative Test

f'(x) changes from + to - ⟹ local maximum at x
f'(x) changes from - to + ⟹ local minimum at x
f'(x) doesn't change sign ⟹ point of inflection

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Frequently Asked Questions

What topics are covered in Application Of Derivatives for CUET (UG)?
Application Of Derivatives is an important chapter in CUET (UG) Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Rate of Change of Quantities, Increasing and Decreasing Functions, Local Maxima and Minima, Absolute Maxima and Minima.
How important is Application Of Derivatives for CUET (UG)?
Application Of Derivatives is a frequently tested chapter in CUET (UG) Mathematics. Questions from this chapter appear regularly in previous year papers. There are 426 practice questions available for this chapter.
How to prepare Application Of Derivatives for CUET (UG)?
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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