Calculus

Here is a list of all of the skills that cover calculus! These skills are organised by class, and you can move your mouse over any skill name to preview the skill. To start practising, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

Here is a list of all of the skills that cover calculus! To start practising, just click on any link.

Class XI skills

  1. X.1 Find limits using graphs
  2. X.2 Find one-sided limits using graphs
  3. X.3 Determine if a limit exists
  4. Y.1 Find limits using addition, subtraction and multiplication laws
  5. Y.2 Find limits using the division law
  6. Y.3 Find limits using power and root laws
  7. Y.4 Find limits using limit laws
  8. Y.5 Find limits of polynomials and rational functions
  9. Y.6 Find limits involving factorisation and rationalisation
  10. Z.1 Find limits at vertical asymptotes using graphs
  11. Z.2 Determine end behaviour using graphs
  12. Z.3 Determine end behaviour of polynomial and rational functions
  13. AA.1 Find the limit at a vertical asymptote of a rational function I
  14. AA.2 Find the limit at a vertical asymptote of a rational function II
  15. BB.1 Identify graphs of continuous functions
  16. BB.2 Determine continuity using graphs
  17. BB.3 Determine one-sided continuity using graphs
  18. BB.4 Find and analyse points of discontinuity using graphs
  19. BB.5 Determine continuity on an interval using graphs
  20. BB.6 Determine the continuity of a piecewise function at a point
  21. BB.7 Make a piecewise function continuous
  22. BB.8 Intermediate Value Theorem
  23. CC.1 Average rate of change I
  24. CC.2 Average rate of change II
  25. CC.3 Find instantaneous rates of change
  26. CC.4 Velocity as a rate of change
  27. CC.5 Find values of derivatives using limits
  28. CC.6 Find the slope of a tangent line using limits
  29. CC.7 Find equations of tangent lines using limits
  30. DD.1 Sum and difference rules
  31. DD.2 Product rule
  32. DD.3 Quotient rule
  33. DD.4 Power rule I
  34. DD.5 Power rule II
  35. DD.6 Find derivatives of polynomials
  36. DD.7 Find derivatives of rational functions
  37. DD.8 Find derivatives of trigonometric functions I
  38. DD.9 Find derivatives of trigonometric functions II
  39. DD.10 Chain rule
  40. DD.11 Find derivatives of radical functions
  41. DD.12 Find derivatives using the product rule
  42. DD.13 Find derivatives using the quotient rule I
  43. DD.14 Find derivatives using the quotient rule II
  44. DD.15 Find derivatives using the chain rule I
  45. DD.16 Find derivatives using the chain rule II

Class XII skills

  1. Q.1 Identify graphs of continuous functions
  2. Q.2 Determine continuity using graphs
  3. Q.3 Determine one-sided continuity using graphs
  4. Q.4 Find and analyse points of discontinuity using graphs
  5. Q.5 Determine continuity on an interval using graphs
  6. Q.6 Determine the continuity of a piecewise function at a point
  7. Q.7 Make a piecewise function continuous
  8. Q.8 Intermediate Value Theorem
  9. R.1 Average rate of change I
  10. R.2 Average rate of change II
  11. R.3 Find instantaneous rates of change
  12. R.4 Velocity as a rate of change
  13. R.5 Find values of derivatives using limits
  14. R.6 Find the slope of a tangent line using limits
  15. R.7 Find equations of tangent lines using limits
  16. S.1 Sum and difference rules
  17. S.2 Product rule
  18. S.3 Quotient rule
  19. S.4 Power rule I
  20. S.5 Power rule II
  21. S.6 Chain rule
  22. S.7 Inverse function rule
  23. T.1 Find derivatives of polynomials
  24. T.2 Find derivatives of rational functions
  25. T.3 Find derivatives of trigonometric functions I
  26. T.4 Find derivatives of trigonometric functions II
  27. T.5 Find derivatives of exponential functions
  28. T.6 Find derivatives of logarithmic functions
  29. T.7 Find derivatives of inverse trigonometric functions
  30. T.8 Find derivatives of radical functions
  31. T.9 Find derivatives using the product rule I
  32. T.10 Find derivatives using the product rule II
  33. T.11 Find derivatives using the quotient rule I
  34. T.12 Find derivatives using the quotient rule II
  35. T.13 Find derivatives using the chain rule I
  36. T.14 Find derivatives using the chain rule II
  37. U.1 Find derivatives using implicit differentiation
  38. U.2 Find tangent lines using implicit differentiation
  39. U.3 Find derivatives using logarithmic differentiation
  40. V.1 Find higher derivatives of polynomials
  41. V.2 Find higher derivatives of rational and radical functions
  42. V.3 Find second derivatives of trigonometric, exponential and logarithmic functions
  43. V.4 Find higher derivatives using patterns