Calculus
Here is a list of skills students learn in Calculus! These skills are organized into categories, 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!
Functions
Families of functions
Trigonometric functions
- C.1 Convert between radians and degrees
- C.2 Quadrants
- C.3 Coterminal and reference angles
- C.4 Find trigonometric ratios using right triangles
- C.5 Find trigonometric ratios using the unit circle
- C.6 Find trigonometric ratios using reference angles
- C.7 Inverses of trigonometric functions
- C.8 Find properties of sine functions
- C.9 Write equations of sine functions from graphs
- C.10 Write equations of sine functions using properties
- C.11 Graph sine functions
- C.12 Find properties of cosine functions
- C.13 Write equations of cosine functions from graphs
- C.14 Write equations of cosine functions using properties
- C.15 Graph cosine functions
- C.16 Graph sine and cosine functions
Exponential and logarithmic functions
- D.1 Domain and range of exponential and logarithmic functions
- D.2 Convert between exponential and logarithmic form
- D.3 Evaluate logarithms
- D.4 Change of base formula
- D.5 Product property of logarithms
- D.6 Quotient property of logarithms
- D.7 Power property of logarithms
- D.8 Evaluate logarithms using properties
- D.9 Describe linear and exponential growth and decay
Introduction to limits
Calculate limits
- F.1 Find limits using addition, subtraction and multiplication laws
- F.2 Find limits using the division law
- F.3 Find limits using power and root laws
- F.4 Find limits using limit laws
- F.5 Find limits of polynomials and rational functions
- F.6 Find limits involving factorization and rationalization
- F.7 Find limits involving absolute value functions
- F.8 Find limits involving trigonometric functions
Limits involving infinity
Rational functions
Continuity
- I.1 Identify graphs of continuous functions
- I.2 Determine continuity using graphs
- I.3 Determine one-sided continuity using graphs
- I.4 Find and analyze points of discontinuity using graphs
- I.5 Determine continuity on an interval using graphs
- I.6 Determine the continuity of a piecewise function at a point
- I.7 Make a piecewise function continuous
- I.8 Intermediate Value Theorem
Introduction to derivatives
Derivative rules
Calculate derivatives
- L.1 Find derivatives of polynomials
- L.2 Find derivatives of rational functions
- L.3 Find derivatives of trigonometric functions I
- L.4 Find derivatives of trigonometric functions II
- L.5 Find derivatives of exponential functions
- L.6 Find derivatives of logarithmic functions
- L.7 Find derivatives of inverse trigonometric functions
- L.8 Find derivatives of radical functions
- L.9 Find derivatives using the product rule I
- L.10 Find derivatives using the product rule II
- L.11 Find derivatives using the quotient rule I
- L.12 Find derivatives using the quotient rule II
- L.13 Find derivatives using the chain rule I
- L.14 Find derivatives using the chain rule II