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Lección Primeras 3 leyes de la derivada

Lección Primeras 3 leyes de la derivada

Assessment

Presentation

Mathematics

3rd - 6th Grade

Hard

Created by

Araceli C

Used 1+ times

FREE Resource

6 Slides • 17 Questions

1

​Derivada utilizando reglas

By Araceli C

2

​Fórmula

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3

Math Response

f(x)=5

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4

Math Response

f(x)=0

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5

Math Response

f(x)=-1/2

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6

Math Response

f(x)=6

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7

Math Response

f(x)=-9.3

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8

Math Response

f(x)=k, para cualquier número constante k, la derivada es

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9

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10

Math Response

f(x)=xf\left(x\right)=x

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11

Math Response

f(x)=x+5f\left(x\right)=-x+5

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12

Math Response

f(x)=5x12f\left(x\right)=-5x-\frac{1}{2}

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13

Math Response

f(x)=117x+4f\left(x\right)=\frac{11}{7}x+4

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14

Math Response

En base a los resultados obtenidos, pudiste observar que la derivada de toda función lineal f(x)=mx+bf\left(x\right)=mx+b es:

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15

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16

Multiple Choice

La derivada de la función f(x)=x5f\left(x\right)=x^5

1

f´(x)=4x5f´\left(x\right)=4x^5

2

f´(x)=5x4f´\left(x\right)=5x^4

3

f´(x)=5x5f´\left(x\right)=5x^5

17

Multiple Choice

La derivada de la función f(x)=x2f\left(x\right)=x^2

1

f´(x)=2x3f´\left(x\right)=2x^3

2

f´(x)=2x2f´\left(x\right)=2x^2

3

f´(x)=2xf´\left(x\right)=2x^{ }

18

Multiple Choice

La derivada de la función f(x)=x4f\left(x\right)=x^4

1

f´(x)=4x3f´\left(x\right)=4x^3

2

f´(x)=3x4f´\left(x\right)=3x^4

3

f´(x)=3x2f´\left(x\right)=3x^2

19

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​Ejemplo derivada de una función con exponentes racionales

20

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21

Multiple Choice

Derivada de f(x)=1x2f\left(x\right)=\frac{1}{x^2}

1

f´(x)=2x3f´\left(x\right)=-\frac{2}{x^3}

2

f´(x)=3x3f´\left(x\right)=-\frac{3}{x^3}

3

f´(x)=2x2f´\left(x\right)=-\frac{2}{x^2}

22

Multiple Choice

Derivada de f(x)=3x5f\left(x\right)=\frac{3}{x^5}

1

f´(x)=15x6f´\left(x\right)=-\frac{15}{x^6}

2

f´(x)=15x5f´\left(x\right)=-\frac{15}{x^5}

3

f´(x)=15x7f´\left(x\right)=\frac{15}{x^7}

23

Multiple Choice

Derivada de f(x)=x+2xf\left(x\right)=x+\frac{2}{x}

1

f´(x)=12x2f´\left(x\right)=1-\frac{2}{x^2}

2

f´(x)=1+2x2f´\left(x\right)=1+\frac{2}{x^2}

3

f´(x)=2x2f´\left(x\right)=\frac{2}{x^2}

​Derivada utilizando reglas

By Araceli C

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