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Q1 is true/false question covering some core facts, notation and basic examples. Q2 has two functions for which second derivative needs to be determined.
Metadata
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
Contributors
History
Maria Aneiros 5 years, 9 months ago
Created this as a copy of Differentiation: second derivatives, core facts.There are 88 other versions that do you not have access to.
| Name | Type | Generated Value |
|---|
| statements_true | list |
List of 9 items
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| statements_false | list |
List of 9 items
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| max_mark | integer |
5
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| n | number |
9
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| a | integer |
6
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| b | rational |
37/2
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| c | integer |
8
|
| Name | Type | Generated Value |
|---|
| rand | list |
[ 0, 0, 0, 1, 1, 1, 1, 0, 1 ]
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| statements | list |
List of 9 items
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| marks | matrix |
Matrix of size 9×2
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| Name | Type | Generated Value |
|---|
| a1 | integer |
4
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| n1 | integer |
3
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| b1 | integer |
-7
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| a2 | integer |
-3
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| b2 | integer |
-3
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| Name | Type | Generated Value |
|---|
Generated value: list
[ "$f\'\'(x) = -\\sin(x)$", "$g\'\'(t) = -\\cos(t)$", "The first derivative of a function is just the derivative of the function", "The second derivative of $f$ is the derivative of the derivative of $f$ ", "The second derivative of $g$ can be denoted by $\\frac{d^2g}{dt^2}$", "The second derivative of $f$ can be denoted by $\\frac{d^2f}{dx^2}$", "If the second derivative is positive, then the first derivative is increasing", "If the second derivative is positive, then the graph is convex", "If the second derivative is negative, then the graph is concave" ]
This variable doesn't seem to be used anywhere.
Match choices with answers
Ask the student a question, and give any hints about how they should answer this part.
Which of the following are true and which are false?
In the following, f(x)=sin(x) and g(t)=cos(t).
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True
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False
For each combination of answer and choice, specify the number of marks to add or subtract when the student picks it.
Use this tab to check that this question works as expected.
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| Match choices with answers | ||
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| Gap-fill | ||
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| Mathematical expression | ||
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| Mathematical expression | ||
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