# Calculus

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

## Grade 12 skills

- Y.1Find limits using graphs
- Y.2Find one-sided limits using graphs
- Y.3Determine if a limit exists
- Z.1Find limits using addition, subtraction and multiplication laws
- Z.2Find limits using the division law
- Z.3Find limits using power and root laws
- Z.4Find limits using limit laws
- Z.5Find limits of polynomials and rational functions
- Z.6Find limits involving factorisation and rationalisation
- AA.1Find limits at vertical asymptotes using graphs
- AA.2Determine end behaviour using graphs
- AA.3Determine end behaviour of polynomial and rational functions
- BB.1Find the limit at a vertical asymptote of a rational function I
- BB.2Find the limit at a vertical asymptote of a rational function II
- CC.1Identify graphs of continuous functions
- CC.2Determine continuity using graphs
- CC.3Determine one-sided continuity using graphs
- CC.4Find and analyse points of discontinuity using graphs
- CC.5Determine continuity on an interval using graphs
- CC.6Determine the continuity of a piecewise defined function at a point
- CC.7Intermediate Value Theorem
- DD.1Average rate of change I
- DD.2Average rate of change II
- DD.3Find instantaneous rates of change
- DD.4Velocity as a rate of change
- DD.5Find values of derivatives using limits
- DD.6Find the slope of a tangent line using limits
- DD.7Find equations of tangent lines using limits
- EE.1Sum and difference rules
- EE.2Product rule
- EE.3Quotient rule
- EE.4Power rule I
- EE.5Power rule II
- EE.6Find derivatives of polynomials I
- EE.7Find derivatives of polynomials II
- EE.8Find derivatives of rational functions
- EE.9Find derivatives of trigonometric functions
- EE.10Chain rule
- EE.11Find derivatives using implicit differentiation
- EE.12Find tangent lines using implicit differentiation
- EE.13Find derivatives of exponential functions
- EE.14Find derivatives of logarithmic functions
- EE.15Find derivatives using the product rule I
- EE.16Find derivatives using the product rule II
- EE.17Find derivatives using the quotient rule I
- EE.18Find derivatives using the quotient rule II