MediumDifferentiation rules

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §4.1 The Chain Rule, #32 · Calculus · Differentiation rules

If … and … and … and …, find the derivative at…

If $f (3) = 3$ and $g (3) = 5$ and $f^{'} (3) = 2$ and $g^{'} (3) = 4$ , find the derivative at $x = 3$ if possible for
(a) $f (x) g (x)$
(b) $f (g (x))$
(c) $g (f (x))$
(d) $f (f (x))$

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §4.1 The Chain Rule, #32

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