DeepCurve sketching

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.3 Second Derivatives: Bending and Acceleration, #44 · Calculus · Curve sketching

Draw a piecewise linear … that is concave up

Draw a piecewise linear $y (x)$ that is concave up. Define "concave up" without using the test $d^{2} y / d x^{2} ⩾ 0$ . If derivatives don't exist, a new definition is needed.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.3 Second Derivatives: Bending and Acceleration, #44

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