Exam-style question
Try this first
Which answer avoids the common misconception in differentiate using the product rule?.
- A.G4: avoid assuming that a derivative gives a rate or gradient, not the original function
- B.Use any familiar GCSE calculation even if it ignores Differentiate using the product rule
- C.Write only the final answer without showing the mathematical method
- D.Change the notation or restrictions to make the algebra look simpler
Model answer
What a good answer should say
- The correct answer is G4: avoid assuming that a derivative gives a rate or gradient, not the original function.
- This option is best because track domain, range, composition order and inverse notation, then checks that the notation, restrictions and conclusion match the AQA A-level Mathematics objective.
This answer is tied to the objective: G4 Differentiate using the product rule, quotient rule and chain rule, including problems involving connected rates of change and inverse functions..
Explanation
Why this works
Use the explanation to connect the worked answer back to G4 Differentiate using the product rule, quotient rule and chain rule, including problems involving connected rates of change and inverse functions..
G4: avoid assuming that a derivative gives a rate or gradient, not the original function is the correct option. It directly supports differentiate using the product rule by requiring the student to track domain, range, composition order and inverse notation.
The other options are weaker because they hide the reasoning, ignore restrictions, or use a generic calculation that may not fit the objective.
Maths method check
- Topic focus: Pure Mathematics.
- Question style: practice.
- Reasoning demand: recall.
- Check the operation, notation, units, and final answer form against the question before moving on.
Common mistake
No common mistake is linked to this question yet.