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9.7 Defining Polar Coordinates and Differentiating in Polar Form

Syllabus
2020
Topic
9.7
Level
—

FUN-3.G—Calculate derivatives of functions written in polar coordinates

  • FUN-3.G Calculate derivatives of functions written in polar coordinates.
  • FUN-3.G.1 Methods for calculating derivatives of real-valued functions can be extended to functions in polar coordinates.
  • FUN-3.G.2 For a curve given by a polar equation r = f(θ), derivatives of r, x, and y with respect to θ, and first and second derivatives of y with respect to x can provide information about the curve.
  • Enduring understanding FUN-3: Recognizing opportunities to apply derivative rules can simplify differentiation.

Objective notes

1 learning objective
ConceptAP Calculus BC