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Finding the coordinates and determining the nature of the stationary points on a polynomial function
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
History
Musa Mammadov 1 year, 8 months ago
Published this.Kerri Morgan was given access to the Musa's copy of 3 Find coordinates of stationary points of polynomials 2 years, 7 months ago
Julien Ugon was given access to the Musa's copy of 3 Find coordinates of stationary points of polynomials 2 years, 7 months ago
Musa Mammadov 4 years, 10 months ago
Created this as a copy of Musa's copy of Find coordinates of stationary points of polynomials.| Name | Status | Author | Last Modified | |
|---|---|---|---|---|
| Find coordinates of stationary points of polynomials | draft | Newcastle University Mathematics and Statistics | 20/11/2019 14:50 | |
| Luis's copy of Find coordinates of stationary points of polynomials | draft | Luis Hernandez | 30/11/2018 18:51 | |
| Musa's copy of 3 Find coordinates of stationary points of polynomials | draft | Musa Mammadov | 27/06/2023 01:35 | |
| Musa's copy of 5 Find coordinates of stationary points of polynomials | draft | Musa Mammadov | 20/07/2023 01:39 |
There are 12 other versions that do you not have access to.
| Name | Type | Generated Value |
|---|
| y1 | number |
10
|
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| y0 | integer |
-1
|
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| y3 | number |
-17
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| y2 | number |
-17
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| y4 | number |
10
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| y02 | integer |
-1
|
||||
| y03 | integer |
-6
|
||||
| x1 | integer |
-2
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| x43 | integer |
-3
|
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| x42 | integer |
0
|
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| y42 | number |
6
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| y43 | number |
-10.1666666667
|
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| x03 | integer |
2
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| x02 | integer |
1
|
||||
| y22 | number |
-21
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| y23 | number |
-14.6666666667
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| x23 | integer |
0
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| x22 | integer |
3
|
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| x2 | integer |
1
|
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| x3 | integer |
1
|
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| x0 | integer |
-3
|
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| c0 | number |
-10
|
||||
| c02 | number |
6
|
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| x4 | integer |
-2
|
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| x32 | integer |
3
|
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| x33 | integer |
0
|
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| x13 | integer |
-3
|
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| y33 | number |
-14.6666666667
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||||
| y32 | number |
-21
|
||||
| x12 | integer |
0
|
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| c03 | number |
-14.6666666667
|
||||
| y13 | number |
-10.1666666667
|
||||
| y12 | number |
6
|
||||
| x111 | integer |
0
|
||||
| x222 | integer |
3
|
Generated value: number
- c0
- x1
- x2
- x3
- x4
- y3
- y4
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Ask the student a question, and give any hints about how they should answer this part.
For the following function:
{y=2x3−3{x12+x22}x2+6{x12x22}x+{c02}}
Determine the coordinates and the nature of the stationary points.
First Derivative; y′(x)=
Give values of x where stationary points occur: smallest-x1 =
Second Derivative is y′′(x)=
Values of Second derivative at stationary points:
y′′(x1)=
y′′(x2)=
Minimum point: (
Enter fractions in their simplest form.
Use this tab to check that this question works as expected.
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This question is used in the following exams:
- Week 7 - Quiz - Short SIT190 by Kerri Morgan in Kerri's workspace.
- Week 7 - Quiz - Short SIT190 by Kerri Morgan in Kerri's workspace.
- Week 7 - Quiz - Short SIT190 by Kerri Morgan in Kerri's workspace.
- SIT190 - Week 7 - Quiz - Short by Musa Mammadov in Musa's workspace.
- SIT190 - Week 7 - Quiz - Reflect by Ria Rushin Joseph in Ria Rushin's workspace.