# Calculus

Here is a list of all of the skills that cover calculus! These skills are organised by year, 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!

## Year 11 skills

- II.1Find limits using graphs
- II.2Find one-sided limits using graphs
- II.3Determine if a limit exists
- JJ.1Find limits using addition, subtraction and multiplication laws
- JJ.2Find limits using the division law
- JJ.3Find limits using power and root laws
- JJ.4Find limits using limit laws
- JJ.5Find limits of polynomials and rational functions
- JJ.6Find limits involving factorisation and rationalisation
- KK.1Find limits at vertical asymptotes using graphs
- KK.2Determine end behaviour using graphs
- KK.3Determine end behaviour of polynomial and rational functions
- KK.4Find the limit at a vertical asymptote of a rational function I
- KK.5Find the limit at a vertical asymptote of a rational function II
- LL.1Identify graphs of continuous functions
- LL.2Determine continuity using graphs
- LL.3Determine one-sided continuity using graphs
- LL.4Find and analyse points of discontinuity using graphs
- LL.5Determine continuity on an interval using graphs
- LL.6Determine the continuity of a piecewise defined function at a point
- LL.7Intermediate Value Theorem
- MM.1Average rate of change I
- MM.2Average rate of change II
- MM.3Find instantaneous rates of change
- MM.4Velocity as a rate of change
- MM.5Find values of derivatives using limits
- MM.6Find the gradient of a tangent line using limits
- MM.7Find equations of tangent lines using limits
- MM.8Sum and difference rules
- MM.9Power rule I
- MM.10Power rule II
- MM.11Find derivatives of polynomials

## Year 12 skills

- Y.1Average rate of change I
- Y.2Average rate of change II
- Y.3Find instantaneous rates of change
- Y.4Velocity as a rate of change
- Y.5Find values of derivatives using limits
- Y.6Find the gradient of a tangent line using limits
- Y.7Find equations of tangent lines using limits
- Z.1Sum and difference rules
- Z.2Product rule
- Z.3Quotient rule
- Z.4Power rule I
- Z.5Power rule II
- Z.6Find derivatives of polynomials
- Z.7Find derivatives of rational functions
- Z.8Find derivatives of trigonometric functions
- Z.9Chain rule
- Z.10Find derivatives using implicit differentiation
- Z.11Find tangent lines using implicit differentiation
- Z.12Find derivatives of exponential functions
- Z.13Find derivatives of logarithmic functions
- Z.14Find derivatives using the product rule I
- Z.15Find derivatives using the product rule II
- Z.16Find derivatives using the quotient rule I
- Z.17Find derivatives using the quotient rule II