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Formula Sheet

Application Of Derivatives — Formula Sheet

MHT-CET · Mathematics

All important formulas from Application Of Derivatives for MHT-CET 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 MHT-CET 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 MHT-CET?
Application Of 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: Rate of Change of Quantities, Increasing and Decreasing Functions, Local Maxima and Minima, Absolute Maxima and Minima.
How important is Application Of Derivatives for MHT-CET?
Application Of Derivatives is a frequently tested chapter in MHT-CET 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 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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