MediumDerivatives

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.3 The Slope and the Tangent Line, #31 · Calculus · Derivatives

Draw a circle of radius 1 resting in the parabola

Draw a circle of radius 1 resting in the parabola $y = x^{2}$ . At the touching point $(a, a^{2})$ , the equation of the normal line is ____. That line has $x = 0$ when $y =$ ____. The distance to $(a, a^{2})$ equals the radius 1 when $a =$ ____. This locates the touching point.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.3 The Slope and the Tangent Line, #31

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