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Polar Derivatives

Polar Derivatives. Section 10-4 continued. Slope and Tangent Lines. To find the slope of a tangent line to a polar graph, consider a differentiable function given by r = f ( Ɵ ). To find the slope in polar form, use the parametric equations x = r cos Ɵ = f ( Ɵ ) cos Ɵ and

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Polar Derivatives

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  1. Polar Derivatives Section 10-4 continued

  2. Slope and Tangent Lines To find the slope of a tangent line to a polar graph, consider a differentiable function given by r = f(Ɵ). To find the slope in polar form, use the parametric equations x = r cosƟ= f(Ɵ) cosƟ and y= r sin Ɵ= f(Ɵ) sin Ɵ.

  3. Slope and Tangent Lines Using the parametric form of dy/dx we have

  4. Horizontal and Vertical Tangent Lines • Horizontal • Vertical Cusp at (0, 0)

  5. Tangent Lines at the Pole If then Then the line Is tangent to the pole to the graph of

  6. 10) Find the tangents for

  7. 11) Find the tangents for

  8. 12) Find the equation of the line tangent to the polar curve

  9. Home Work Page 739 # 63,64,65-83 odd

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