Calculus skills

99 skills 77 videos

IXL has dozens of Calculus skills to learn and review! As you work through a skill, questions will adapt to match your level. Keep answering questions to reach mastery!

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

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

U. Integration techniques

  1. 1
    Find indefinite integrals using substitution
  2. 2
    Integrals involving inverse trigonometric functions
  3. 3
    Integrate using long division
  4. •
    New! Integrate by completing the square

V. Differential equations

  1. 1
    Solve first-order initial value problems
  2. •
    New! Solve higher-order initial value problems
  3. •
    New! Verify solutions to differential equations

W. Applications of integration

  1. 1
    Average value of a function
  2. 2
    Areas of regions bounded by graphs and the x-axis