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Georgia standard · Mathematics

C.FGR.3Derivative as Rate of Change

Relate limits and continuity to the derivative as a rate of change and apply it to a variety of situations including modeling contexts.

Appears in: Mathematics, High School

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Expectations

  • Apply the definition of the derivative.

    • C.FGR.3.1

      Interpret the derivative as an instantaneous rate of change that is a two-sided limit of an average rate of change.

    • C.FGR.3.2

      Demonstrate and apply the relationship between differentiability and continuity.

    • C.FGR.3.3

      Apply the concept of derivative geometrically, numerically, and analytically.

  • Apply rules of differentiation.

    • C.FGR.3.4

      Find the derivatives of sums, products, quotients, and composite functions.

    • C.FGR.3.5

      Find the derivatives of a variety of relations.

    • C.FGR.3.6

      Calculate higher order derivatives.

Georgia Milestones coverage

No Georgia Milestones blueprint cites this standard.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.

C.FGR.3: Derivative as Rate of Change | Georgia Mathematics Standard | Georgia Homeroom