Parametric, Polar & Vectors · Polar Coordinates
Polar Curve Slope
The slope of a polar curve at a given angle θ. Derived from x = r cos θ, y = r sin θ using the parametric derivative formula.
- 0 variables
- 2 worked examples
- 12 in Parametric, Polar & Vectors
Worked examples
Find the slope of r = 1 + cos θ at θ = π/2.
- r' = -sin θ. At θ = π/2: r = 1, r' = -1
- dy/dx = (-1·sin(π/2) + 1·cos(π/2))/(-1·cos(π/2) - 1·sin(π/2))
- = (-1 + 0)/(0 - 1) = -1/(-1) = 1
Answer: 1
1 more worked examplePremium
Find the slope of r = 2 sin θ at θ = π/6.
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Practice
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