DeepCurve sketching

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.3 Second Derivatives: Bending and Acceleration, #43 · Calculus · Curve sketching

The error in … is approximately

The error in $f (a) + f^{'} (a) (x - a)$ is approximately $\frac{1}{2} f^{''} (a) (x - a)^{2}$ . This error is positive when the function is ______. Then the tangent line is ______ the curve.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.3 Second Derivatives: Bending and Acceleration, #43

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