Calculus‎ > ‎

Derivatives



    1) Average Rate of Change
    2) Definition of a Derivative 
    3) Power Rule (and sum/difference, and constant multiple rules)
    4) Product & Quotient Rule
    5)  Review
    6) Product and Quotient Rule with Symbolic Notation
    7) Derivative of Trig Ratios
    8) Chain Rule
    9) Chain Rule (advanced)
    10)  Derivative of Exponential & Logarithmic Expressions
    11)  Use differentiation rules when given the definition of a derivative Worksheet | Answers

    12)  Derivative Rules using tables and graphs 
    13) Review Summary:  
    • The Chain Rule.  The last operator is what you keep; all of the other operators are "u."
    • When should you use the chain rule:
      • When you have a power (numerical exponent) and the base is anything other than a single variable.
      • When you have a trig ratio and the "inside" part is anything other than a single variable 
      • When you have an exponential function (the base is a number) and the exponent is anything other than a single variable.
      • When you have a logarithmic function and the "inside" part is anything other than a single variable.
    • Chain Rule Mixed Review WS  |  Answers
    14)  Derivative at a point with a calculator 
    15) Implicit differentiation - one dy/dx
    16)  Implicit differentiation - more than one dy/dx
    17) Review Implicit Differentiation
    18)  Derivative of Inverse Functions
    19) Derivative of Inverse Functions with the graphing calculators
    20)  Derivative of Inverse Trig Ratios
    21) Points of Non-Differentiability
    22) Review: