# 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 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!

## Year 12 skills

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

## Year 13 skills

- T.1 Average rate of change I
- T.2 Average rate of change II
- T.3 Find instantaneous rates of change
- T.4 Velocity as a rate of change
- T.5 Find values of derivatives using limits
- T.6 Find the gradient of a tangent line using limits
- T.7 Find equations of tangent lines using limits
- U.1 Sum and difference rules
- U.2 Product rule
- U.3 Quotient rule
- U.4 Power rule I
- U.5 Power rule II
- U.6 Chain rule
- U.7 Inverse function rule
- V.1 Find derivatives of polynomials
- V.2 Find derivatives of rational functions
- V.3 Find derivatives of trigonometric functions I
- V.4 Find derivatives of trigonometric functions II
- V.5 Find derivatives of exponential functions
- V.6 Find derivatives of logarithmic functions
- V.7 Find derivatives of inverse trigonometric functions
- V.8 Find derivatives of radical functions
- V.9 Find derivatives using the product rule I
- V.10 Find derivatives using the product rule II
- V.11 Find derivatives using the quotient rule I
- V.12 Find derivatives using the quotient rule II
- V.13 Find derivatives using the chain rule I
- V.14 Find derivatives using the chain rule II
- W.1 Find derivatives using implicit differentiation
- W.2 Find tangent lines using implicit differentiation
- W.3 Find derivatives using logarithmic differentiation
- X.1 Find higher derivatives of polynomials
- X.2 Find higher derivatives of rational and radical functions
- X.3 Find second derivatives of trigonometric, exponential and logarithmic functions
- X.4 Find higher derivatives using patterns