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Differential Calculus

Learning tasks
                  
Lesson
Text book
Exercises Correction
A) Derivative
    I) Rate of Change
      1) Finding Rate of ChangeEx 1 Ex 2 Ex 3 Ex 4
      2) Finding Rate of Change from a GraphEx 5 Ex 6 Ex 7 Ex 8
      3) Modeling with Rates of ChangeEx 9 Ex 10 Ex 11 Ex 12
      4) Modeling with Rates of ChangeEx 13 Ex 14 Ex 15
    II) Limit Definition of the Derivative
      5) Conjecturing the Derivative at a PointEx 16 Ex 17 Ex 18
      6) Finding the Derivative GraphicallyEx 19 Ex 20 Ex 21 Ex 22
      7) Finding the Derivative at a PointEx 23 Ex 24 Ex 25
    III) Derivative Function
      8) Finding the Derivative from First PrinciplesEx 26 Ex 27 Ex 28 Ex 29 Ex 30
      9) Interpreting the Graph of the DerivativeEx 31 Ex 32 Ex 33
      10) Finding the Tangent Slope Using the Derivative FunctionEx 34 Ex 35 Ex 36
    IV) Conditions of Differentiability
      11) Identifying Differentiability from a GraphEx 37 Ex 38 Ex 39
      12) Proving Non-Differentiability at a PointEx 40 Ex 41
B) Rules of Differentiation
    I) Basic Rules and Power Functions
      13) Proving Basic Rules and Power FunctionsEx 42 Ex 43 Ex 44 Ex 45
      14) Applying the Power RuleEx 46 Ex 47 Ex 48 Ex 49 Ex 50
      15) Differentiating Polynomial FunctionsEx 51 Ex 52 Ex 53 Ex 54
      16) Differentiating Functions with Fractional and Negative ExponentsEx 55 Ex 56 Ex 57 Ex 58
      17) Expanding Before DifferentiatingEx 59 Ex 60 Ex 61 Ex 62
    II) Product Rule
      18) Differentiating with the Product RuleEx 63 Ex 64 Ex 65 Ex 66
    III) Quotient Rule
      19) Differentiating with the Quotient RuleEx 67 Ex 68 Ex 69 Ex 70