Calculus skills

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IXL has more than 100 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!

B. Families of functions

  1. 1
    Function transformation rules
  2. 2
    Translations of functions
  3. 3
    Reflections of functions
  4. 4
    Dilations of functions
  5. 5
    Transformations of functions
  6. 6
    Describe function transformations

E. Introduction to limits

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

G. Limits involving infinity

  1. 1
    Find limits at vertical asymptotes using graphs
  2. 2
    Determine end behaviour using graphs
  3. 3
    Determine end behaviour of polynomial and rational functions

H. Rational functions

  1. 1
    Find the limit at a vertical asymptote of a rational function I
  2. 2
    Find the limit at a vertical asymptote of a rational function II

K. 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

M. Derivative strategies

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

O. Rates of change

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

P. L'Hospital's rule

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

Q. Analyze functions using the first derivative

  1. 1
    Mean Value Theorem
  2. 2
    Find absolute extrema on a closed interval
  3. 3
    Identify the graph of the derivative from the graph of the function

R. Analyze functions using the second derivative

  1. 1
    Identify the graph of the second derivative from the graph of the function

S. Optimization

  1. 1
    Introduction to optimization

T. Linear approximation

  1. 1
    Linear approximation

V. Fundamental Theorem of Calculus

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

Y. Differential equations

  1. 1
    Solve first-order initial value problems

Z. Applications of Integration

  1. 1
    Average value of a function