Calculus

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Categorization of Differential Equations: An Expert Classification

Categorization of Differential Equations: An Expert Classification

Differential equations are mathematical equations that relate functions with their derivatives. They come in various forms and complexities. Understanding their order, degree, linearity, and homogeneity is key to classifying and solving them effectively.

Everything You Need to Know About Sketching Curves Using Derivatives

Everything You Need to Know About Sketching Curves Using Derivatives

The first and second derivative tests are pivotal tools in calculus for analyzing the behavior of functions. They assess where functions increase or decrease, identify local extrema, and determine concavity. While the first derivative reveals increasing or decreasing trends and locates potential extrema, the second derivative offers insights into the function’s concavity, indicating whether a […]

The Slope of The Slope: Second Derivatives

The Slope of The Slope: Second Derivatives

Ambiguous No More: The L’Hôpital’s Rule

Ambiguous No More: The L’Hôpital’s Rule

The Rules of Integral: Complex Subject Made Easy

The Rules of Integral: Complex Subject Made Easy

How to Integrate By Parts: Step-by-Step Guide

How to Integrate By Parts: Step-by-Step Guide

How to Find the Integral of Radicals

How to Find the Integral of Radicals

How to Find The Slope of Roots: Derivative of Radicals

How to Find The Slope of Roots: Derivative of Radicals

Reversing Derivatives Made Easy: Power Rule of Integration

Reversing Derivatives Made Easy: Power Rule of Integration

Fundamental Theorem of Calculus: A Principle That Saves Your Life

Fundamental Theorem of Calculus: A Principle That Saves Your Life

Trigonometric Integrals: A Thorough Guide On Everything You Need To Know

Trigonometric Integrals: A Thorough Guide On Everything You Need To Know

Substitution Rule of Integrals: Integral Problems Made Simple

Substitution Rule of Integrals: Integral Problems Made Simple