derivada (spanish) - meaning, definition, translation, pronunciation

Part of Speech

• Noun

Phonetic Transcription

• /deɾiˈβaða/

Translation Options into English

• Derivative

Meaning and Usage

The word "derivada" refers to a concept in calculus, specifically relating to the rate at which a function is changing at any given point. In mathematics, it's commonly used in discussions of calculus and analysis.

• Frequency of Use: "Derivada" is a term frequently used in academic contexts, particularly in mathematics and physics. It is more common in written contexts such as textbooks, scholarly articles, and educational materials, but also appears in oral contexts, particularly in classroom settings.

Example Sentences

1. La derivada de una función nos indica la pendiente de la tangente en un punto dado.

2. The derivative of a function tells us the slope of the tangent at a given point.

3. En cálculo, la derivada se utiliza para encontrar máximos y mínimos de una función.

4. In calculus, the derivative is used to find the maxima and minima of a function.

5. Es importante entender la derivada para poder resolver problemas más complejos en matemáticas.

6. It is important to understand the derivative in order to solve more complex problems in mathematics.

Idiomatic Expressions

While "derivada" itself is not commonly used in idiomatic expressions, the concept of derivatives is foundational in various mathematical contexts. Below are several example sentences that utilize mathematical terminology that could relate to "derivada":

1. La derivada de la vida a veces puede ser inesperada, como una función que cambia de dirección.

2. The derivative of life can sometimes be unexpected, like a function changing direction.

3. En términos de desarrollo personal, cada experiencia es una derivada que nos modela.

4. In terms of personal development, each experience is a derivative that shapes us.

5. Al estudiar matemáticas, entendí que la derivada no solo se aplica a números, sino a decisiones cotidianas.

6. When studying mathematics, I realized that the derivative applies not just to numbers, but to everyday decisions.

Etymology

The word "derivada" comes from the Latin word “derivatus,” the past participle of the verb "derivare," which means "to draw off, to direct." In mathematics, it reflects the notion of deriving a value from a function.

Synonyms and Antonyms

• Synonyms: tasa de cambio (rate of change), diferencial (differential)
• Antonyms: integral (integral) - while not a direct antonym, it represents a contrasting concept in calculus.

This overview provides a comprehensive understanding of the term "derivada" within its mathematical context.