Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §4.3 Inverse Functions and Their Derivatives, #17 · Calculus · Differentiation rules

If … and … are increasing, which two of these might not…

If $f (x)$ and $g (x)$ are increasing, which two of these might not be increasing?
$f (x) + g (x) f (x) g (x) f (g (x)) f^{- 1} (x) 1/ f (x)$

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §4.3 Inverse Functions and Their Derivatives, #17

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