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Quiz de cálculo diferencial

Created by

OSCAR LEONARDO CANAVIRI COAQUIRA
OSCAR LEONARDO CANAVIRI COAQUIRA
Bolivia

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Desafío de Derivadas
 

Desafío de DerivadasOnline version

Quiz de cálculo diferencial

by OSCAR LEONARDO CANAVIRI COAQUIRA
1

1. ¿Qué expresa el límite?

2

2. ¿Cuál es la derivada de una constante f(x)=K?

3

3. Si f(x)=K x^n, ¿Cuál es f'(x)?

4

4. Regla del producto: si y=f(x)·g(x), ¿cómo es y'?

5

5. Regla de la razón: y=f(x)/g(x) ⇒ y'=

6

6. Regla de la cadena: si y=f(g(x)), entonces y'=

7

7. ¿Cuál es la derivada de sin(u) respecto a x?

8

8. Derivada de ln(x): d/dx[ln x]=

9

9. ¿Cuál es la derivada de tan x?

10

10. Si f(x)=e^(kx), ¿f'(x)=?

Explicación

Es la definición de la derivada, que mide el cambio instantáneo de la variable independiente.

Las constantes no cambian, su variación es cero.

Aplicación de la regla de potencia con coeficiente K.

Es la regla del producto.

Es la regla de la derivada de cociente.

Regla de la cadena (derivar externa, luego interna).

Derivada de sin es cos, multiplicada por la derivada de la interna.

La derivada de log natural es 1/x para x>0.

Tan' x = sec^2 x; a veces se escribe 1/cos^2 x, equivalente.

Derivada de exponencial con base e: coeficiente k.

 
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