Scottish Highers · Higher Mathematics

Differentiation and Integration

13 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 13 questions

  1. What is the maximum value of ?
  2. Convert to radians.
  3. Differentiate .
  4. Find the gradient of the curve at .
  5. Find the coordinates of the local minimum of .
  6. A rectangle has perimeter 40 cm. What is the maximum possible area?
  7. Find the equation of the tangent to at the point where .
  8. Differentiate .
  9. Find .
  10. Evaluate .
  11. Find the area enclosed between and .
  12. Find .
  13. Find .

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