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Differentiate the function f(x)=(a+bx)menx using the product rule. Find g(x) such that f′(x)=(a+bx)m−1enxg(x).
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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
Bill Foster 55 years, 2 months ago
Created this.There is only one version of this question that you have access to.
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Name | Type | Generated Value |
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a | integer |
4
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s1 | integer |
1
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b | integer |
3
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m | integer |
6
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n | integer |
6
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Generated value: integer
4
→ Used by:
- Advice
- "Unnamed part" - prompt
- "Unnamed part" → "Unnamed gap" - Correct answer
Gap-fill
Ask the student a question, and give any hints about how they should answer this part.
{f(x)=({a}+{b}x){m}e{n}x}
You are given that {dfdx=({a}+{b}x){m−1}e{n}xg(x)}
for a polynomial g(x). You have to find g(x).
g(x)=
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This question is used in the following exams:
- mathcentre: Diagnostic test - Differentiation by Bill Foster in Bill's workspace.
- mathcentre: Product rule practice by Bill Foster in Bill's workspace.
- Bradford: Product rule practice by Bill Foster in Bill's workspace.
- Maths Support: Product rule practice by Christian Lawson-Perfect in Maths Support Wiki.
- Product rule by Peter Chapman in Peter's workspace.
- MLC Support: Product rule by Paraic Treacy in Paraic's workspace.
- Differentiation Practice by Katie Dexter in Katie's workspace.
- rhaana's copy of mathcentre: Diagnostic test - Differentiation by rhaana starling in rhaana's workspace.
- Peter's copy of mathcentre: Diagnostic test - Differentiation by Peter Chleboun in Peter's workspace.
- Bradford: Diagnostic test - Differentiation by Bill Foster in Bill's workspace.
- Maths Support: Diagnostic test - Differentiation by Christian Lawson-Perfect in Maths Support Wiki.
- Differentiation by Bill Foster in Bill's workspace.
- Product rule practice by Marlon Arcila in Derivadas.
- Simon's copy of Maths Support: Product rule practice by Simon Thomas in Calculus.
- Product rule by Simon Thomas in Calculus.
- Sara's copy of Maths Support: Diagnostic test - Differentiation by Sara Santos in Sara's workspace.