CINCO SIETE Derivada producto

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Marlon Arcila

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david arcila was given access to the CINCO SIETE Derivada producto 3 years, 6 months ago

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Marlon Arcila 8 years, 4 months ago

Created this as a copy of Differentiation: Product rule.

Name	Status	Author	Last Modified
Differentiation: Product rule	draft	Newcastle University Mathematics and Statistics	20/11/2019 14:50
CINCO SIETE Derivada producto	draft	Marlon Arcila	08/09/2021 00:41
Adrian's copy of Differentiation: Product rule	draft	Adrian Jannetta	16/08/2023 14:56
Differentiation: Product rule	draft	Harry Flynn	08/05/2018 11:25
Harry's copy of Adrian's copy of Differentiation: Product rule	draft	Harry Flynn	08/05/2018 11:39
Luis's copy of Differentiation: Product rule	draft	Luis Hernandez	30/11/2018 19:04
Differentiation : Product Rule	draft	Johnny Yi	08/12/2020 02:17
Standard Differentiation	draft	Heather Driscoll	11/02/2019 13:23
Heather's copy of Differentiation : Product Rule	draft	Heather Driscoll	11/02/2019 13:14
Heather's copy of Differentiation : Product Rule	draft	Heather Driscoll	11/02/2019 13:22
Standard Integration	draft	Heather Driscoll	11/02/2019 13:59
Standard Differentiation (Trig)	draft	Heather Driscoll	01/03/2019 12:20
Standard Differentiation (Trig2)	draft	Heather Driscoll	21/09/2022 16:14
JD's copy of Differentiation: Product rule	draft	JD Ichwan	21/05/2019 05:38

There are 24 other versions that do you not have access to.

Question statement

Calcular la derivada de la función, empleano la regla del producto

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	2
s1	integer	-1
b	integer	-1
m	integer	9
n	integer	5

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Value

xxxxxxxxxx
 
random(2..9)

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Description

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Generated value: `integer`

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Ask the student a question, and give any hints about how they should answer this part.

$\displaystyle \simplify[std]{f(x) = x ^ {m} * ({a} * x+{b})^{n}}$

$\displaystyle \frac{df}{dx}=\;$ Unnamed gap

Ejemplo de respuesta: digite 4x^3(7x+5)^8+56x^4(7x+5)^7 en la barra de respuesta, para ingresar una solución de tipo: $4x^3(7x+5)^8+56x^4(7x+5)^7$

Advice

Si $u$ y $v$ son funciones derivables de $x$ , entonces

$\simplify[std]{Diff(u * v,x,1) = u * Diff(v,x,1) + v * Diff(u,x,1)}$

Para en ejemplo se tiene que:

$\simplify[std]{u = x ^ {m}}\Rightarrow \simplify[std]{Diff(u,x,1) = {m}x ^ {m -1}}$

$\simplify[std]{v = ({a} * x+{b})^{n}} \Rightarrow \simplify[std]{Diff(v,x,1) = {n*a} * ({a} * x+{b})^{n-1}}$

Haciendo la sustitución en la fórmula, se obtiene:

$\simplify[std]{Diff(f,x,1) = {m}x ^ {m-1} * ({a} * x+{b})^{n}+{n*a}x^{m} * ({a} * x+{b})^{n-1}}$

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Taxonomy: mathcentre

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david arcila was given access to the CINCO SIETE Derivada producto 3 years, 6 months ago

Marlon Arcila 8 years, 4 months ago

Error in variable testing condition

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Generated value: `integer`

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CINCO SIETE Derivada producto

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

david arcila was given access to the CINCO SIETE Derivada producto 3 years, 6 months ago

Marlon Arcila 8 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`