Chain rule 3

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Frank Doheny

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Frank Doheny 8 years, 3 months ago

Published this.

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Frank Doheny 8 years, 5 months ago

Created this as a copy of Chain rule 2.

Name	Status	Author	Last Modified
Chain rule 2	draft	Frank Doheny	18/11/2016 11:39
Chain rule 3	draft	Frank Doheny	18/11/2016 11:38
Chain rule 4	draft	Frank Doheny	18/11/2016 11:39
Katy's copy of Chain rule 4	Ready to use	Katy Dobson	30/07/2018 11:45
Chain rule 4	draft	Xiaodan Leng	10/07/2019 23:57
Differentiation - Chain Rule	draft	Kevin Bohan	27/01/2020 14:48

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Question statement

Differentiate the function:

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

Give any introductory information the student needs.

			Name	Type	Generated Value

a1	integer	3
a2	integer	4
a3	integer	4
a4	integer	14

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A random number between and (inclusive) with step size

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Generated value: `integer`

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Gap-fill
1. Gap Mathematical expression
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$\frac{df}{dx}=$ Unnamed gap

Advice

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

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

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

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

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

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

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Taxonomy: mathcentre

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Checkpoint description

Frank Doheny 8 years, 3 months ago

Frank Doheny 8 years, 5 months ago

Error in variable testing condition

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Generated value: `integer`

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Chain rule 3

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Frank Doheny 8 years, 3 months ago

Frank Doheny 8 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`