Math Analysis

Derivative Units

Unit D-1 Unit D-2 Unit D-3 Unit D-4 Unit D-5 Unit D-6 Unit D-7
Unit D-1 Review of Factoring Polynomials Agenda
  1. Factor Quadratic Equations
  2. Reduce Rational Expressions by Factoring
Unit D-2 Introduction to Limits Agenda
  1. Graphing the "hole" on the calculator
  2. Finding the y coordinate of the "hole"
  3. Simplifying Rational Expressions to find the Limit
Unit D-3 Introduction to the Derivative Agenda
  1. Graphing the secant line
  2. Graphing the tangent line
  3. Applying secant and tangent line slopes to problems involving projectile motion
Unit D-4 The Power Rule Agenda
  1. Using the Power Rule to Differentiate a Polynomial
Unit D-5 Tangent Line Equations Agenda
  1. Using the Power Rule to find the slope of a curve at a given point
  2. Using the equation of a line with the derivative to find a tangent line
  3. Finding the value(s) of x at which the slope of a tangent line is 0
Unit D-6 Find the Critical and Exreme Values of a Polynomial Function Agenda
  1. Finding the zeros of the derivative
  2. Using sign patterns of the derivative to determine the behavior of a function
  3. Identifying a critical point as minimum, maximum, or neither.
  4. Find the extreme values
Unit D-7 Find the instantaneous velocity using the Power Rule Agenda
  1. Using the Power Rule to find the derivative of a position function
  2. Finding the value(s) of t at which an object stops and/or changes direction
  3. Using the velocity to find the direction of motion of a particle