cormac's copy of Chain rule 1

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cormac breen

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cormac breen 8 years, 1 month ago

Created this as a copy of Chain rule 1.

Name	Status	Author	Last Modified
Chain rule 1	draft	Frank Doheny	18/11/2016 11:39
cormac's copy of Chain rule 1	draft	cormac breen	04/03/2017 17:43
cormac's copy of cormac's copy of Chain rule 1	draft	cormac breen	07/03/2017 14:16
Chain rule	draft	Milena Venkova	06/03/2018 13:50
Chain rule 2	draft	Milena Venkova	09/03/2018 12:24
Milena's copy of Chain rule	draft	Milena Venkova	08/03/2018 15:46
Milena's copy of Milena's copy of Chain rule	draft	Milena Venkova	13/03/2018 13:55
Milena's copy of Milena's copy of Chain rule	draft	Milena Venkova	13/03/2018 14:13
Chain rule 3	draft	Milena Venkova	13/03/2018 14:46

There is one other version that you do not have access to.

Question statement

Differentiate the function:

$f(x)=\var{a1}sin(\var{a2}x^{\var{a3}}+\var{a4})$

Give any introductory information the student needs.

			Name	Type	Generated Value

a1	integer	4
a2	integer	6
a3	integer	2
a4	integer	12

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A random number between and (inclusive) with step size

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Generated value: `integer`

This variable doesn't seem to be used anywhere.

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Gap-fill
1. Gap Mathematical expression
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Gap-fill

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

Advice

$f(x)=\var{a1}sin(\var{a2}x^{\var{a3}}+\var{a4})$

Recall the chain rule: $\frac{df}{dx}=\frac{df}{du}.\frac{du}{dx}$

let $u=\var{a2}x^{\var{a3}}+\var{a4}$ then $f(x)=\var{a1}sin(u)$

$\frac{df}{du}=\var{a1}cos(u)$ and $\frac{du}{dx}=\var{a3}*\var{a2}x^{\var{a3}-1}$

$\frac{df}{dx}=\var{a1}cos(u).\simplify{{a2}*{a3}x^{{a3}-1}}$

$\frac{df}{dx}=\simplify{{a1}*{a2}*{a3}x^{{a3}-1}}cos(\var{a2}x^{\var{a3}}+\var{a4})$

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Taxonomy: mathcentre

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cormac breen 8 years, 1 month ago

Error in variable testing condition

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Generated value: `integer`

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Gap-fill

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cormac's copy of Chain rule 1

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

cormac breen 8 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`