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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.1 The Derivative of a Function, #15 · Calculus · Derivatives

Find numbers … and … so that the straight line … fits…

Find numbers $A$ and $B$ so that the straight line $y = x$ fits smoothly with the curve $Y = A + B x + x^{2}$ at $x = 1$ . Smoothly means that $y = Y$ and $d y / d x = d Y / d x$ at $x = 1$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.1 The Derivative of a Function, #15

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