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MCQ 2 - G3 Apply differentiation to find gradients, tangents and normals, maxima and minima, stationary points and points of inflection; identify where functions are increasing or decreasing. - Pure Mathematics

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

MCQ

Type

practice

Style

Topic

Pure Mathematics

Exam-style question

Try this first

What is the safest exam approach for apply differentiation to find gradients?.

  1. A.G3: justify each step using the relevant differentiation rule
  2. B.Use any familiar GCSE calculation even if it ignores Apply differentiation to find gradients
  3. C.Write only the final answer without showing the mathematical method
  4. D.Change the notation or restrictions to make the algebra look simpler

Model answer

What a good answer should say

  • The correct answer is G3: justify each step using the relevant differentiation rule.
  • This option is best because use radians, exact values, identities or interval restrictions as the question requires, then checks that the notation, restrictions and conclusion match the AQA A-level Mathematics objective.

This answer is tied to the objective: G3 Apply differentiation to find gradients, tangents and normals, maxima and minima, stationary points and points of inflection; identify where functions are increasing or decreasing..

Explanation

Why this works

Use the explanation to connect the worked answer back to G3 Apply differentiation to find gradients, tangents and normals, maxima and minima, stationary points and points of inflection; identify where functions are increasing or decreasing..

G3: justify each step using the relevant differentiation rule is the correct option. It directly supports apply differentiation to find gradients by requiring the student to use radians, exact values, identities or interval restrictions as the question requires.

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: understanding.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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