MediumDifferentiation rules

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §4.1 The Chain Rule, #38 · Calculus · Differentiation rules

If … then

If $g (x) = 1 - x$ then $g (g (x)) = 1 - (1 - x) = x$ . If $g (x) = 1/ x$ then $g (g (x)) = 1/ (1/ x) = x$ . Draw graphs of those $g$ ’s and explain from the graphs why $g (g (x)) = x$ . Find two more $g$ ’s with this special property.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §4.1 The Chain Rule, #38

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