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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.2 Maximum and Minimum Problems, #67 · Calculus · Optimization

When the difference between … and … is smallest, their slopes are…

This problem goes back to the theory.

When the difference between $f (x)$ and $g (x)$ is smallest, their slopes are ______. Show this point on the graphs of $f = 2 + x^{2}$ and $g = 2 x - x^{2}$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.2 Maximum and Minimum Problems, #67

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