DeepCurve sketching

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.4 Graphs, #57 · Calculus · Curve sketching

A 10-digit computer shows … and … at

A 10-digit computer shows $y = 0$ and $d y / d x = .01$ at $x^{*} = 1$ . This root should be correct to about (8 digits) (10 digits) (12 digits). Hint: Suppose $y = .01 (x - 1 +$ error). What errors don't show in 10 digits of $y$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.4 Graphs, #57

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