Numbas demo: JME part

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From users who are members of Demos :

Christian Lawson-Perfect

said

Ready to use

7 years, 9 months ago

From users who are not members of Demos :

Hien Nguyen Chat	said	Ready to use	4 years, 11 months ago
Sahar Basiri Esfahani	said	Ready to use	5 years, 1 month ago

History

○

Hien Nguyen Chat 4 years, 11 months ago

Gave some feedback: Ready to use

○

Sahar Basiri Esfahani 5 years, 1 month ago

Gave some feedback: Ready to use

○

Christian Lawson-Perfect 7 years, 9 months ago

Gave some feedback: Ready to use

○

Christian Lawson-Perfect 9 years, 10 months ago

Created this.

Name	Status	Author	Last Modified
Numbas demo: JME part	Ready to use	Christian Lawson-Perfect	25/08/2020 15:00
Plantilla-2	draft	Marlon Arcila	18/07/2016 17:44
Derivadas R de la potencia	draft	Marlon Arcila	07/11/2016 17:37
aleams's copy of Numbas demo: JME part	draft	aleams barra	08/12/2018 14:26
Morten's copy of Numbas demo: JME part	draft	Morten Sorensen	07/05/2019 13:53

There are 8 other versions that do you not have access to.

Question statement

Numbas is really good at creating and marking randomised maths questions. In this question, you're given a random polynomial to differentiate.

Notice how Numbas automatically simplifies the mathematical expressions so they look as if a human wrote them.

See this question in the public editor

Give any introductory information the student needs.

			Name	Type	Generated Value

num_terms	integer	3
powers	list	[ 3, 5, 8 ]
coefficients	list	[ 8, 3, -6 ]

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
3

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

→ Used by:

coefficients

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Mathematical expression
  Add

Gap-fill

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

Differentiate the following function.

$f(x) = \simplify[all,!noLeadingMinus]{ {coefficients[2]}*x^{powers[2]} + {coefficients[1]}*x^{powers[1]} + {coefficients[0]}*x^{powers[0]} }$

$\frac{\mathrm{d}f}{\mathrm{d}x} =$ Unnamed gap

Advice

The derivative of $x^n$ is given by the following:

$\frac{\mathrm{d}}{\mathrm{d}x}(x^n) = n \times x^{n-1}$

We can compute the derivative of $f(x)$ by computing the derivatives of each of the three terms, and then adding them together.

$\begin{align} \frac{\mathrm{d}}{\mathrm{d}x}(\simplify{{coefficients[2]}*x^{powers[2]}}) &= \simplify[basic]{{powers[2]}*{coefficients[2]}*x^({powers[2]}-1)} \\ &= \simplify{{coefficients[2]*powers[2]}*x^{powers[2]-1}} \end{align}$

$\begin{align} \frac{\mathrm{d}}{\mathrm{d}x}(\simplify{{coefficients[1]}*x^{powers[1]}}) &= \simplify[basic]{{powers[1]}*{coefficients[1]}*x^({powers[1]}-1)} \\ &= \simplify{{coefficients[1]*powers[1]}*x^{powers[1]-1}} \end{align}$

The derivative of a constant is $0$ . So,

$\frac{\mathrm{d}}{\mathrm{d}x}(\var{coefficients[0]}) = 0$

$\begin{align} \frac{\mathrm{d}}{\mathrm{d}x}(\simplify{{coefficients[0]}*x^{powers[0]}}) &= \simplify[basic]{{powers[0]}*{coefficients[0]}*x^({powers[0]}-1)} \\ &= \simplify{{coefficients[0]*powers[0]}*x^{powers[0]-1}} \end{align}$

Hence,

$\frac{\mathrm{d}f}{\mathrm{d}x} = \simplify{ {coefficients[2]*powers[2]}*x^{powers[2]-1} + {coefficients[1]*powers[1]}*x^{powers[1]-1} + {coefficients[0]*powers[0]}*x^{powers[0]-1} }$

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Information only
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

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Comment

Checkpoint description

Hien Nguyen Chat 4 years, 11 months ago

Sahar Basiri Esfahani 5 years, 1 month ago

Christian Lawson-Perfect 7 years, 9 months ago

Christian Lawson-Perfect 9 years, 10 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Numbas demo: JME part

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Hien Nguyen Chat 4 years, 11 months ago

Sahar Basiri Esfahani 5 years, 1 month ago

Christian Lawson-Perfect 7 years, 9 months ago

Christian Lawson-Perfect 9 years, 10 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`