Day 32 - Unit 2b Test - 02.23.15

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Bell Ringer
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  • Unit 2b Test

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Lesson Objectives
  • Unit 2b Test

In-Class Help Requests

  • APC.5
    • Investigate derivatives presented in graphic, numerical, and analytic contexts and the relationship between continuity and differentiability.
      • The derivative will be defined as the limit of the difference quotient and interpreted as an instantaneous rate of change.
  • APC.6
    • ​The student will investigate the derivative at a point on a curve.
      • Includes:
        • finding the slope of a curve at a point, including points at which the tangent is vertical and points at which there are no tangents
        • using local linear approximation to find the slope of a tangent line to a curve at the point
        • ​defining instantaneous rate of change as the limit of average rate of change
        • approximating rate of change from graphs and tables of values.
  • APC.7
    • Analyze the derivative of a function as a function in itself.
      • Includes:
        • comparing corresponding characteristics of the graphs of f, f', and f''
        • ​defining the relationship between the increasing and decreasing behavior of f and the sign of f'
        • ​translating verbal descriptions into equations involving derivatives and vice versa
        • defining the relationship between the concavity of f and the sign of f "
  • APC.9
    • Apply formulas to find derivatives.
      • Includes:
        • derivatives of algebraic and trigonometric functions
        • derivations of sums, products, quotients, inverses, and composites (chain rule) of elementary functions
        • derivatives of implicitly defined functions
        • higher order derivatives of algebraic and trigonometric functions

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