Use the perpendicular radius and the Pythagorean theorem to check tangency or find a missing radius. Includes the two tangents theorem.
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Find the slope using polar derivatives, convert the point to Cartesian coordinates, and write the tangent line.
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Use the secant-secant and tangent-secant theorems to find segment lengths outside a circle. See how the product rule changes when chords meet inside.
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Find a tangent line using the point on the curve and the derivative’s slope. Work through a quadratic and a sine example step by step.
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Build the difference quotient from the slope of a secant line, then take the limit to find the derivative. Work through a quadratic example.
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