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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.2 Maximum and Minimum Problems, #69 · Calculus · Optimization

For each … the minimum value of … occurs at

This problem goes back to the theory.

For each $m$ the minimum value of $f (x) - m x$ occurs at $x = m$ . What is $f (x)$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.2 Maximum and Minimum Problems, #69

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