Calculus skills

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 practicing, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

A. Introduction to limits

  1. 1
    Find limits using graphs
  2. 2
    Find one-sided limits using graphs
  3. 3
    Determine if a limit exists

D. Limits at infinity

  1. 1
    Determine end behavior using graphs
  2. 2
    Determine end behavior of polynomial and rational functions

G. Derivative rules

  1. 1
    Sum and difference rules
  2. 2
    Product rule
  3. 3
    Quotient rule
  4. 4
    Power rule I
  5. 5
    Power rule II
  6. 6
    Chain rule
  7. 7
    Inverse function rule

I. Derivative strategies

  1. 1
    Find derivatives using implicit differentiation
  2. 2
    Find tangent lines using implicit differentiation
  3. 3
    Find derivatives using logarithmic differentiation

K. Rates of change

  1. 1
    Relate position, velocity, speed, and acceleration using derivatives
  2. 2
    Introduction to related rates

L. L'Hospital's rule

  1. 1
    L'Hospital's rule: indeterminate forms involving quotients

N. Analyze functions using the second derivative

  1. 1
    Identify the graph of the second derivative from the graph of the function
  2. •
    New! Classify local extrema using the second derivative test
  3. •
    New! Identify the graph of a function using its first and second derivatives

O. Optimization

  1. 1
    Introduction to optimization

P. Linear approximation

  1. 1
    Linear approximation

R. Fundamental Theorem of Calculus

  1. 1
    Fundamental Theorem of Calculus, Part 1
  2. 2
    Fundamental Theorem of Calculus, Part 2