MediumCurve sketching

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.3 Second Derivatives: Bending and Acceleration, #22 · Calculus · Curve sketching

Write down the quadratic … in 23–26

If $f (x)$ is an odd function, the second difference $[f (Δ x) - 2 f (0) + f (- Δ x)] / (Δ x)^{2}$ exactly equals $f^{''} (0) = 0$ . Why?

Write down the quadratic $f (0) + f^{'} (0) x + \frac{1}{2} f^{''} (0) x^{2}$ in 23–26.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.3 Second Derivatives: Bending and Acceleration, #22

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