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4.6 Approximating Values of a Function Using Local Linearity and Linearization

Syllabus
2020
Topic
4.6
Level
—

Learning objectives

—CHA-3.F—Approximate a value on a curve using the equation of a tangent line• CHA-3.F Approximate a value on a curve using the equation of a tangent line.• CHA-3.F.1 The tangent line is the graph of a locally linear approximation of the function near the point of tangency.• CHA-3.F.2 For a tangent line approximation, the function’s behavior near the point of tangency may determine whether a tangent line value is an underestimate or an overestimate of the corresponding function value.• Enduring understanding CHA-3: Derivatives allow us to solve real-world problems involving rates of change.

CHA-3.F—Approximate a value on a curve using the equation of a tangent line

  • CHA-3.F Approximate a value on a curve using the equation of a tangent line.
  • CHA-3.F.1 The tangent line is the graph of a locally linear approximation of the function near the point of tangency.
  • CHA-3.F.2 For a tangent line approximation, the function’s behavior near the point of tangency may determine whether a tangent line value is an underestimate or an overestimate of the corresponding function value.
  • Enduring understanding CHA-3: Derivatives allow us to solve real-world problems involving rates of change.