Derivative

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Ambiguous No More: The L’Hôpital’s Rule

Ambiguous No More: The L’Hôpital’s Rule

L’Hôpital’s Rule, named after the French mathematician Guillaume de l’Hôpital, who first published it in \( 1696 \), is a method in calculus for evaluating limits of indeterminate forms like  \( \frac{0}{0} \) or  \( \frac{\infty}{\infty} \). This rule is highly reliable when the conditions for its use are met and simplifies complex limit problems, […]

How to Find The Slope of Roots: Derivative of Radicals

How to Find The Slope of Roots: Derivative of Radicals

Derivatives of radicals, or root functions, often involve the power rule by expressing roots as fractional exponents. For instance, the square root of \( x\), is equal to \( x^{1/2} \) , making the power rule applicable. However, this method isn’t always straightforward, especially with nested or complex radicals, where other techniques like the chain […]

Derivative of Logarithmic Functions: A Hard Task Made Easy

Derivative of Logarithmic Functions: A Hard Task Made Easy

How to Find The Derivative of a Trigonometric Function

How to Find The Derivative of a Trigonometric Function

Finding Derivatives Made Easy! Product Rule of Differentiation

Finding Derivatives Made Easy! Product Rule of Differentiation

The Quotient Rule: Not Just Dividing Derivatives But Simple Enough

The Quotient Rule: Not Just Dividing Derivatives But Simple Enough

Finding Derivatives Made Easy! Power Rule of Differentiation

Finding Derivatives Made Easy! Power Rule of Differentiation

Finding Derivatives Made Easy! Derivative of A Chain of Functions

Finding Derivatives Made Easy! Derivative of A Chain of Functions