MediumDifferentiation rules

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §4.1 The Chain Rule, #40 · Calculus · Differentiation rules

True or false (a) If … then

True or false
(a) If $f (x) = f (- x)$ then $f^{'} (x) = f^{'} (- x)$ .
(b) The derivative of the identity function is zero.
(c) The derivative of $f (1/ x)$ is $- 1/ (f (x))^{2}$ .
(d) The derivative of $f (1 + x)$ is $f^{'} (1 + x)$ .
(e) The second derivative of $f (g (x))$ is $f^{''} (g (x)) g^{''} (x)$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §4.1 The Chain Rule, #40

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