# 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 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!

## Functions

## Families of functions

## Trigonometric functions

- C.1Convert between radians and degrees
- C.2Quadrants
- C.3Coterminal and reference angles
- C.4Find trigonometric ratios using right triangles
- C.5Find trigonometric ratios using the unit circle
- C.6Find trigonometric ratios using reference angles
- C.7Inverses of trigonometric functions
- C.8Find properties of sine functions
- C.9Write equations of sine functions from graphs
- C.10Write equations of sine functions using properties
- C.11Graph sine functions
- C.12Find properties of cosine functions
- C.13Write equations of cosine functions from graphs
- C.14Write equations of cosine functions using properties
- C.15Graph cosine functions
- C.16Graph sine and cosine functions

## Exponential and logarithmic functions

- D.1Domain and range of exponential and logarithmic functions
- D.2Convert between exponential and logarithmic form
- D.3Evaluate logarithms
- D.4Change of base formula
- D.5Product property of logarithms
- D.6Quotient property of logarithms
- D.7Power property of logarithms
- D.8Evaluate logarithms using properties
- D.9Describe linear and exponential growth and decay

## Introduction to limits

## Calculate limits

## Limits involving infinity

## Continuity

- I.1Identify graphs of continuous functions
- I.2Determine continuity using graphs
- I.3Determine one-sided continuity using graphs
- I.4Find and analyze points of discontinuity using graphs
- I.5Determine continuity on an interval using graphs
- I.6Determine the continuity of a piecewise defined function at a point
- I.7Intermediate Value Theorem

## Introduction to derivatives

## Calculate derivatives

- K.1Sum and difference rules
- K.2Product rule
- K.3Quotient rule
- K.4Power rule I
- K.5Power rule II
- K.6Find derivatives of polynomials
- K.7Find derivatives of rational functions
- K.8Find derivatives of trigonometric functions
- K.9Chain rule
- K.10Find derivatives using implicit differentiation
- K.11Find tangent lines using implicit differentiation
- K.12Find derivatives of exponential functions
- K.13Find derivatives of logarithmic functions
- K.14Find derivatives using the product rule I
- K.15Find derivatives using the product rule II
- K.16Find derivatives using the quotient rule I
- K.17Find derivatives using the quotient rule II