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Slope of a Polar Curve

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The formula for the slope dy/dx of a polar curve requires computing the derivatives of y = r sin θ and x = r cos θ with respect to θ. What is the justification for this procedure?

A

To separate the tangential and normal components of the curve’s motion

B

To apply the chain rule separately to the y and x components of the polar function

C

To isolate the effects of r and θ on the Cartesian coordinates

D

To account for the radial and angular velocities independently

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