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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.1 The Derivative of a Function, #6 · Calculus · Derivatives

Choose … so that the line … is tangent to the parabola…

Choose $c$ so that the line $y = x$ is tangent to the parabola $y = x^{2} + c$ . They have the same slope where they touch.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.1 The Derivative of a Function, #6

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