Calculus

125 skills 80 videos

IXL offers more than 100 Calculus skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall to find a skill that looks interesting, or select a skill plan that aligns to your textbook, provincial curriculum, or standardized test.

IXL offers more than 100 Calculus skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall to find a skill that looks interesting, or select a skill plan that aligns to your textbook, provincial curriculum, or standardized test.

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