A-Level UK (AQA, Edexcel, OCR) · Mathematics

Differentiation and integration

12 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 12 questions

  1. Differentiate with respect to .
  2. Find .
  3. What is the gradient of the curve at the point where ?
  4. Find the coordinates of the local minimum of .
  5. Find the value of .
  6. Differentiate .
  7. Differentiate .
  8. Find the area enclosed between the curve and the line .
  9. Find .
  10. A cube has edge cm and is increasing at cm/s. How fast is the volume increasing when ?
  11. Use the trapezium rule with 4 equal strips to estimate .
  12. The curve passes through . Find at this point.

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