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What's on the worksheet
- Find dydx as a function of θ for each polar curve, and simplify.r = \sqrt{\theta}, \theta > 0r = \dfrac{1}{1 - \cos\theta}r = \sin^2\theta
- Find the tangent line to the curve r = 4 + 3 2θ at θ = π4.
- Consider the curve r = 2 + 3θ.
- Consider the circle r = 4θ, 0 < θ < π, and let be the angle from the outward radius to the tangent (in the direction of increasing θ).
- x y P The figure shows the rose r = 4 3θ for 0 ≤ θ < π.
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Slope of a polar curve: the lesson ›