# 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!

## Higher 2 skills

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