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The derivative of xm(ax2+b)n is of the form xm−1(ax2+b)n−1g(x). Find g(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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Bill Foster 55 years, 2 months ago
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| Name | Type | Generated Value |
|---|
| a | integer |
7
|
||||
| s1 | integer |
-1
|
||||
| b | integer |
-3
|
||||
| m | integer |
9
|
||||
| n | integer |
3
|
Generated value: integer
7
This variable doesn't seem to be used anywhere.
Gap-fill
Ask the student a question, and give any hints about how they should answer this part.
{f(x)=x{m}({a}x2+{b}){n}}
The answer is in the form
dfdx={x{m−1}({a}x2+{b}){n−1}g(x)}
for a polynomial g(x).
You have to find g(x).
g(x)=
Click on Show steps for more information. You will not lose any marks by doing so.
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