Georgia Homeroom

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Georgia standard · Mathematics

`C.FGR.4`Derivative Applications Overview

Apply derivatives to situations in order to draw conclusions including curve analysis and modeling rates of change in applications.

Appears in: Mathematics, High School

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Expectations

Analyze function behavior using the derivative.
- C.FGR.4.1
  Calculate the slope of a curve at a point.
- C.FGR.4.2
  Write the equation of the tangent line to a curve at a point and use it to obtain a local linear approximation of a value near the point of tangency.
- C.FGR.4.3
  Identify intervals where functions are increasing, decreasing, and constant by using the relationship between the function and the sign of its first derivative.
- C.FGR.4.4
  Identify points of inflection and intervals of concavity of a function by using the second derivative of a function.
- C.FGR.4.5
  Compare characteristics of f, f’, and f” graphically, numerically, analytically, and with technology.
- C.FGR.4.6
  Apply Mean Value Theorem.
Apply the derivative to real-world problems.
- C.FGR.4.7
  Apply Extreme Value Theorem.
- C.FGR.4.8
  Apply the derivative to real-world problems to find both local and absolute extrema, with and without technology.
- C.FGR.4.9
  Model rates of change in applied situations.

Georgia Milestones coverage

No Georgia Milestones blueprint cites this standard.

C.FGR.4: Derivative Applications Overview | Georgia Mathematics Standard | Georgia Homeroom