EasyCurve sketching

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.3 Second Derivatives: Bending and Acceleration, #4 · Calculus · Curve sketching

True or false, when … is a 9th degree polynomial with …

Find a function with $f^{''} (2) = 0$ and no other inflection point.

True or false, when $f (x)$ is a 9th degree polynomial with $f^{'} (1) = 0$ and $f^{'} (3) = 0$ . Give (or draw) a reason.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.3 Second Derivatives: Bending and Acceleration, #4

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