Differentiation rules are mathematical principles used in calculus to find the derivative of a function. Derivatives measure how a function changes as its input changes, and the rules for differentiation allow us to compute these derivatives efficiently for a wide variety of functions.
Differentiation of integrals refers to a concept in calculus where one takes the derivative of an integral with respect to its limits or the variable of integration. This idea is formalized by the Fundamental Theorem of Calculus, which establishes a relationship between differentiation and integration.
Faà di Bruno's formula provides a way to compute the \( n \)-th derivative of a composed function. It generalizes the chain rule for differentiation in a systematic way.
The Inverse Function Rule is a concept in calculus that relates the derivatives of a function and its inverse.
The linearity of differentiation refers to the property of the derivative operator that allows it to be distributed over addition and scalar multiplication.
The product rule is a fundamental principle in calculus used to differentiate functions that are products of two (or more) functions.
The Quotient Rule is a method in calculus used to find the derivative of a function that is the quotient of two other functions.
The term "reciprocal rule" can refer to different concepts depending on the context in which it's used. Below are a few interpretations of the term: 1. **Mathematics**: In mathematics, particularly in the context of fractions or division, the reciprocal of a number is defined as \(1\) divided by that number.
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