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Finding the coordinates and determining the nature of the stationary points on a polynomial function
Metadata
Find coordinates of stationary points of polynomials
by 
Newcastle University Mathematics and Statistics
-
England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
History
Luis Hernandez 6 years, 3 months ago
Created this as a 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 |
4
|
||||
| y0 | integer |
4
|
||||
| y3 | number |
4
|
||||
| y2 | number |
129
|
||||
| y4 | number |
129
|
||||
| y02 | integer |
9
|
||||
| y03 | integer |
10
|
||||
| x1 | integer |
2
|
||||
| x43 | integer |
-2
|
||||
| x42 | integer |
-3
|
||||
| y42 | number |
25
|
||||
| y43 | number |
10
|
||||
| x03 | integer |
-2
|
||||
| x02 | integer |
-2
|
||||
| y22 | number |
-191
|
||||
| y23 | number |
-10.8333333333
|
||||
| x23 | integer |
3
|
||||
| x22 | integer |
3
|
||||
| x2 | integer |
-3
|
||||
| x3 | integer |
2
|
||||
| x0 | integer |
2
|
||||
| c0 | number |
48
|
||||
| c02 | number |
-83
|
||||
| x4 | integer |
-3
|
||||
| x32 | integer |
3
|
||||
| x33 | integer |
3
|
||||
| x13 | integer |
-2
|
||||
| y33 | number |
-10.8333333333
|
||||
| y32 | number |
-191
|
||||
| x12 | integer |
-3
|
||||
| c03 | number |
2.6666666667
|
||||
| y13 | number |
10
|
||||
| y12 | number |
25
|
Generated value: number
4
← Depends on:
- c0
- x1
- x2
→ Used by:
- x3
- x4
- y3
- y4
Parts
Gap-fill
Ask the student a question, and give any hints about how they should answer this part.
For the following function:
{y=2x3−{3(x1+x2)}x2+{x1x2×6}x+{c0}}
Determine the coordinates and the nature of the stationary points.
Minimum point: (
Enter fractions in their simplest form.
Use this tab to check that this question works as expected.
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