Reglas de derivación básicas

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Mathematics

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11th Grade - University

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Easy

Vanessa Sánchez

Used 14+ times

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6 Slides • 8 Questions

Reglas de derivación básicas

by Vanessa Sánchez

Derivada de una constante

ES IGUAL A CERO, ya que la pendiente de una recta constante es igual a cero.

Multiple Choice

La derivada de $f\left(x\right)=8$ es:

$f'\left(x\right)=1$

$f'\left(x\right)=0$

$f'\left(x\right)=8$

$f'\left(x\right)=-8$

Poll

La derivada de $f\left(x\right)=\left(\frac{3}{2-1}\right)^2$ es:

$f'\left(x\right)=0$

$f'\left(x\right)=1$

$f'\left(x\right)=45$

$f'\left(x\right)=9$

Derivada de una función lineal

Es igual al número que acompaña la "x", que en una función lineal está representado por la "m":

Si la línea es creciente, la derivada- que es la pendiente, es POSITIVA. Si la línea es decreciente, la derivada, es NEGATIVA.

Derivada de una suma ó resta de funciones

Multiple Choice

La derivada de la función graficada es:

$f'\left(x\right)=\ 2x$

$f'\left(x\right)=0$

$f'\left(x\right)=\ 2$

$f'\left(x\right)=1$

Poll

La derivada de $f(x)=-5x+7$ es:

$f'\left(x\right)=0$

$f'\left(x\right)=-5$

$f'\left(x\right)=5$

$f'\left(x\right)=3$

Derivada de una potencia

La derivada se obtiene multiplicando el coeficiente numérico y el exponente, y se le resta SIEMPRE UNO al exponente:

Ejemplos derivada de función lineal-potencia

Multiple Choice

La derivada de $f\left(x\right)=-12x^3$ es:

$f'\left(x\right)=-36x^2$

$f'\left(x\right)=15x^2$

$f'\left(x\right)=36x^2$

$f'\left(x\right)=-36x^4$

Poll

La derivada de $f\left(x\right)=9x^5$ es:

$f'\left(x\right)=14x^4$

$f'\left(x\right)=45x^4$

$f'\left(x\right)=45x^6$

$f'\left(x\right)=-45x^2$

Multiple Choice

La derivada de $f\left(x\right)=\frac{2}{3}x^3+8$ es:

$f'\left(x\right)=\frac{6}{2}x^2=3x^2$

$f'\left(x\right)=\frac{12}{3}x^2=4x^2$

$f'\left(x\right)=\frac{6}{3}x^2=2x^2$

Multiple Choice

La derivada de $f\left(x\right)=\frac{5}{4}x^4-3x^2+4x-1$

$f'\left(x\right)=5x^3-6x+4$

$f'\left(x\right)=4x^4-6x+4$

$f'\left(x\right)=5x^3-5x+4$

Reglas de derivación básicas

by Vanessa Sánchez

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