derivada

Also known as derivative (function), differentiation, instantaneous rate of change

operação em cálculo

AI overview

A derivative measures how sensitive a function is to changes in its input—essentially telling you how quickly the output changes at any given point. It matters because it's a fundamental mathematical tool that helps us understand rates of change in everything from physics to economics, and it provides the best straight-line approximation of how a function behaves near a specific point.

AI-generated from the Wikipedia summary — may contain errors.

In the Vinony graph

Within Vinony's link graph, derivada is referenced by 1,248 other articles, and connects out to list of differentiation rules, notation for differentiation and Gottfried Wilhelm Leibniz.

It sits within the topics Change, Differential calculus and Functions and mappings.

Its subject is documented across 92 Wikipedia language editions.

Described at

Derivatives - Calculus, Meaning, Interpretation

A derivative is the rate of change of a function with respect to a variable. The derivative of a function f(x) is denoted by f'(x) and it can be found by using the limit definition lim h→0 (f(x+h)-f(x))/h.

cuemath.com →

Let us learn what exactly a derivative means in calculus and how to find it along with rules and examples. Thus, whenever we see the phrases like "slope/gradient", "rate of change", "velocity (given the displacement)", "maximize/minimize" etc then it means that the concept of derivatives is involved. The three basic derivatives of the algebraic , logarithmic / exponential and trigonometric functions are derived from the first principle of differentiation and are used as standard derivative formulas . They are as follows. Further, we can find the second-order partial derivatives also like ∂2f/∂x2, ∂2f/∂y2, ∂2f/∂x ∂y, and ∂2f/∂y ∂x. The concept of slope, and hence the derivatives, is used to find the maximum or minimum value of a function. There are two tests that use derivatives and are used to find the maxima/minima of a function. They are The second derivative test uses the critical points and the second derivative to find the maxima/minima. To perform this test: Since the velocity is positive, the object is moving to the right side. Indulging in rote learning, you are likely to forget concepts. With Cuemath, you will learn visually and be surprised by the outcomes.

Excerpt from a page describing this subject · 38,852 chars · not written by Vinony

Wikidata facts

Instance of: unary operation
Part of: differential calculus
Image: Tangent to a curve.svg

Show 9 more facts

maintained by WikiProject: WikiProject Mathematics
topic's main category: Category:Derivatives
Stack Exchange tag: math.stackexchange.com/tags/derivatives
studied by: differential calculus
represents: rate
mathematical inverse: integral
described by source: Utah State University
on focus list of Wikimedia project: Wikipedia:Vital articles/Level/4
described at URL: www.cuemath.com/calculus/derivatives

Sources (4)

via Wikidata · CC0

Article · Português

No cálculo, a derivada em um ponto de uma função representa a taxa de variação instantânea de em relação a neste ponto. Um exemplo típico é a função velocidade que representa a taxa de variação (derivada) da função espaço. Do mesmo modo, a função aceleração é a derivada da função velocidade. Geometricamente, a derivada no ponto de representa a inclinação da reta tangente ao gráfico desta função no ponto . A função que a cada ponto associa a derivada neste ponto de é chamada de função derivada de f(x).

Abstract from DBpedia / Wikipedia · CC BY-SA