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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, #20 · Calculus · Derivatives

Choose … so that the two parabolas … and … are tangent…

Choose $b, c, d$ so that the two parabolas $y = x^{2} + b x + c$ and $y = d x - x^{2}$ are tangent to each other at $x = 1, y = 0$ .

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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, #20

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