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

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

23) Derivative Cumulative