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Derivatives – First Principles, Basic Differentiation

Maths · Grade 11 · Week 33 · 25 questions

All 25 questions in this Derivatives – First Principles, Basic Differentiation quiz

Grade 11 MathsDerivatives – First Principles, Basic Differentiation: 25 practice questions with instant scoring and explanations.

  1. The derivative of f(x) using first principles is defined as:
  2. The derivative of x² using first principles is:
  3. The derivative of a constant c is:
  4. d/dx(x³) equals:
  5. d/dx(√x) equals:
  6. d/dx(1/x) equals:
  7. The derivative of e^x is:
  8. d/dx(sin x) equals:
  9. d/dx(cos x) equals:
  10. d/dx(log x) equals:
  11. The geometric meaning of derivative is:
  12. d/dx(5x³) equals:
  13. d/dx(x⁴ - 2x² + 5) equals:
  14. If f(x) = 3x² + 2x + 1, then f'(2) equals:
  15. d/dx(tan x) equals:
  16. d/dx(a^x) equals:
  17. The derivative of x^n is:
  18. If f(x) = x³, then f'(x) by first principles is:
  19. d/dx(cot x) equals:
  20. d/dx(sec x) equals:
  21. d/dx(cosec x) equals:
  22. The derivative notation f'(x) or df/dx represents:
  23. d/dx(x + 1/x) equals:
  24. If y = x^5, then dy/dx equals:
  25. d/dx(x^(-2)) equals:
Question 1 of 250 correct so far

The derivative of f(x) using first principles is defined as: