MediumCurve sketching

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.4 Graphs, #46 · Calculus · Curve sketching

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Show that $d y / d x = - 1/60$ and $d^{2} y / d x^{2} = 1/90$ at $x = 0$ . Linear approximation gives $d y / d x \approx - 1/60 + x /90$ . So the slope is zero near $x =$ ____. This is Newton's method, using the next derivative.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.4 Graphs, #46

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