MediumDifferentiation rules

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §4.1 The Chain Rule, #33 · Calculus · Differentiation rules

For …, show how iteration gives

For $F (x) = \frac{1}{2} x + 8$ , show how iteration gives $F (F (x)) = \frac{1}{4} x + 12$ . Find $F (F (F (x)))$ —also called $F^{(3)} (x)$ . The derivative of $F^{(n)} (x)$ is ______.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §4.1 The Chain Rule, #33

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