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Using differentiation to find the tangent and normal to a line at a given point
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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
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History
david arcila was given access to the OCHO CUATRO Derivadas valor de f' 3 years, 6 months ago
Marlon Arcila 8 years, 4 months ago
Created this as a copy of Differentiation 19 - Finding Tangent and Normal.| Name | Status | Author | Last Modified | |
|---|---|---|---|---|
| Differentiation 19 - Finding Tangent and Normal | Has some problems | Katie Lester | 13/11/2020 20:13 | |
| Gareth's copy of Differentiation 19 - Finding Tangent and Normal | draft | Gareth Woods | 08/07/2016 11:14 | |
| OCHO CUATRO Derivadas valor de f' | draft | Marlon Arcila | 08/09/2021 00:47 | |
| Denis's copy of Gareth's copy of Differentiation 19 - Finding Tangent and Normal | draft | Denis Flynn | 29/03/2017 15:12 | |
| Differentiation 19 - Finding Tangent and Normal | draft | Xiaodan Leng | 11/07/2019 07:00 |
There are 46 other versions that do you not have access to.
| Name | Type | Generated Value |
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| a | list |
[ 4, 2 ]
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| b | list |
[ -2, -4 ]
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| c | list |
[ -3, -8 ]
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| d | integer |
2
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Generated value: list
[ 4, 2 ]
→ Used by:
- "Part a)" - prompt
- "Part a)" → "Gap 0." - Correct answer
- "Part b)" - prompt
- "Part b)" → "Gap 0." - Correct answer
- "Part b)" → "Gap 1." - Minimum accepted value
- "Part b)" → "Gap 1." - Maximum accepted value
- "Part b)" → "Gap 2." - Minimum accepted value
- "Part b)" → "Gap 2." - Maximum accepted value
- "Part b)" → "Gap 3." - Correct answer
- "Part b)" → "Gap 4." - Minimum accepted value
- "Part b)" → "Gap 4." - Maximum accepted value
Gap-fill
Ask the student a question, and give any hints about how they should answer this part.
Determinar la ecuación de la recta tangente a la curva {y={a[0]}x2+{b[0]}x+{c[0]}} en el punto en el que cruza el eje y.
dydx=
Por tanto, la pendiente de la tangente donde x=0 es
Para la función, si x=0, entonces y=
Finalmente, la ecuación de la recta tangente es: y=
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This question is used in the following exams: