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Derivatives – Rules (Product, Quotient, Chain) & Standard Functions

Maths · Grade 11 · Week 34 · 25 questions

All 25 questions in this Derivatives – Rules (Product, Quotient, Chain) & Standard Functions quiz

Grade 11 MathsDerivatives – Rules (Product, Quotient, Chain) & Standard Functions: 25 practice questions with instant scoring and explanations.

  1. The product rule: d/dx[u·v] equals:
  2. d/dx[x²·sin x] equals:
  3. The quotient rule: d/dx[u/v] equals:
  4. d/dx[x²/(x+1)] equals:
  5. The chain rule: d/dx[f(g(x))] equals:
  6. d/dx[(x² + 3x)⁵] equals:
  7. d/dx[sin(3x)] equals:
  8. d/dx[e^(2x)] equals:
  9. d/dx[log(x² + 1)] equals:
  10. d/dx[√(1 + x²)] equals:
  11. d/dx[sin²x] equals:
  12. d/dx[(x+1)³] equals:
  13. d/dx[x·e^x] equals:
  14. d/dx[sin x · cos x] equals:
  15. d/dx[x/(x+1)] equals:
  16. d/dx[tan(2x)] equals:
  17. d/dx[(1 + x)^10] equals:
  18. d/dx[x² sin x] at x = 0 equals:
  19. The derivative of a product is: d/dx[u·v] = u'v + uv' is the:
  20. d/dx[e^(-x)] equals:
  21. d/dx[log|x|] equals:
  22. d/dx[x·log x] equals:
  23. d/dx[sin³x] equals:
  24. d/dx[√(x² + 4x)] equals:
  25. d/dx[cos(x²)] equals:
Question 1 of 250 correct so far

The product rule: d/dx[u·v] equals: