Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §6.6 Powers Instead of Exponentials, #11 · Calculus · Applications of derivatives

(a) The power … (decreases) (increases) with …, as we compound more…

(a) The power $(1 + 1/ n)^{n}$ (decreases) (increases) with $n$ , as we compound more often. (b) The derivative of $f (x) = x ln (1 + 1/ x)$ , which is ______, should be $(< 0) (> 0)$ . This is confirmed by Problem 12.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §6.6 Powers Instead of Exponentials, #11

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