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Why is the absolute value function not differentiable at x=0?

Last Updated: 23 July 2025

The absolute value function is not differentiable at x = 0 because the function has a sharp corner at that point, resulting in a discontinuity in the slope of the tangent ...read more

When does L' Hopital's Rule Fail?

Last Updated: 28 May 2026

L'Hôpital’s Rule is not applicable when the limit does not result in an indeterminate form such as 0/0 or ∞/∞, or when the required derivatives do not exist. L'Hôpital’s R...read more

What is dx in Integration?

Last Updated: 21 August 2025

In integration, dx signifies an infinitesimal change in x, representing integration with respect to x.In this article will explain what "dx" represents in integration and ...read more

Application of Integrals

Last Updated: 24 February 2026

Integrals are used to find the area and volume of various 2-D and 3-D curves, and they have vast applications in the fields of mathematics and physics. They generally help...read more

How to Calculate a Definite Integral?

Last Updated: 23 July 2025

A definite integral is a mathematical concept used in calculus to calculate the total effect of a function over a given time frame. It represents the net area between the ...read more

Last Updated: 23 July 2025

Integration Formulas are the basic formulas used to solve various integral problems. They are used to find the integration of algebraic expressions, trigonometric ratios, ...read more

How to solve Differential Equations?

Last Updated: 08 November 2025

A differential equation is an equation that involves an unknown function and its derivatives. Mathematically, equations that contain an independent variable, a dependent ...read more

Chain Rule: Theorem, Formula and Solved Examples

Last Updated: 01 November 2025

The Chain Rule is a way to find the derivative of composite functions. It is one of the basic rules used in mathematics for solving differential equations. It helps us to ...read more

Application of Derivatives

Last Updated: 08 June 2026

Derivative of a variable y with respect to x is defined as the ratio between the change in y and the change in x, depending upon the condition that changes in x should be ...read more

Integration of Trigonometric Functions

Last Updated: 02 December 2025

Integration is the process of summing up small values of a function in the region of limits. It is just the opposite of differentiation. Integration is also known as an an...read more

Integration by Substitution Method

Last Updated: 02 June 2026

Integration by substitution is a method used to simplify an integral by replacing a complex expression with a new variable (u), making the integration process easier.The d...read more

Technical Scripter 2020

Calculus - MAQ

Maths-Class-12

Implicit Differentiation

Last Updated: 23 July 2025

Implicit Differentiation is the process of differentiation in which we differentiate the implicit function without converting it into an explicit function. For example, we...read more

Technical Scripter 2020

Calculus - MAQ

Maths-Class-12

Calculus

Logarithmic Differentiation

Last Updated: 23 July 2025

Method of finding a function's derivative by first taking the logarithm and then differentiating is called logarithmic differentiation. This method is specially used when ...read more

Technical Scripter 2020

Calculus - MAQ

Maths-Class-12

Power Rule

Last Updated: 16 April 2026

The power rule is a basic rule in calculus used to find the derivative of expressions like xn.Rule: Since differentiation is a linear operation on the space of differentia...read more

Product Rule in Derivatives

Last Updated: 01 November 2025

The product rule in calculus is the fundamental rule and is used to find the derivative of functions. The Product Rule of calculus is proved using the concept of limits an...read more

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