Quick answer
"Derivada" is a noun which is often translated as "derivative", and "integral" is an adjective which is often translated as "comprehensive". Learn more about the difference between "derivada" and "integral" below.
derivada
A feminine noun is almost always used with feminine articles and adjectives (e.g. la mujer bonita, la luna llena).
1. (mathematics)
a. derivative
El profesor de matemáticas está explicando cómo calcular la derivada de una fracción.The teacher of mathematics is explaining how to find the derivative of a fraction.
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integral(
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An adjective is a word that describes a noun (e.g. the big dog).
1. (complete)
a. comprehensive
Busco un plan que ofrezca un cuidado integral de la salud.I am looking for a plan that offers comprehensive health care.
b. all-round
Recibí una educación integral en la secundaria gracias a la dedicación de los profesores que enseñaban allí.I received an all-round education from my high school thanks to the devotion of the teachers who taught there.
2. (culinary)
a. whole-wheat
Regionalism used in the United States
(United States)
Prefiero hornear con harina integral porque es más saludable.I prefer to bake with whole-wheat flour, because it is healthier.
b. wholemeal (United Kingdom)
Es difícil amasar masa hecha de harina integral, porque el salvado puede romper la matriz del gluten.It is difficult to knead dough made with wholemeal flour because the bran can shear the gluten matrix.
c. brown (rice)
Solo come arroz integral con sus comidas porque tiene más fibra que el arroz blanco.He only eats brown rice with his meals because it has more fiber than white rice.
3. (incorporated)
a. built-in
Hoy en día, el dictado es una característica integral en la mayoría de los teléfonos celulares en el mercado.Nowadays, dictation is a built-in feature in most cell phones on the market.
4. (constituent)
a. integral
Las proteínas sin grasa, los granos enteros y las frutas son partes integrales de un desayuno equilibrado.Lean protein, whole grains, and fruit are integral parts of a balanced breakfast.
5. (mathematics)
a. integral
Antes de aprender el cálculo multivariado, hay que estudiar el cálculo integral.Before learning multivariable calculus, one must study integral calculus.
A feminine noun is almost always used with feminine articles and adjectives (e.g. la mujer bonita, la luna llena).
6. (mathematics)
a. integral
Básicamente, la integral de una función es la misma que su antiderivada.Basically, the integral of a function is the same as its antiderivative.
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