If m(x) = E[I(x)] is a composite function, then and I'(x) exist. O m'(x) = E[I(x)]I'(x) ○ m' (x) = E' [I'(x)]I'(x) O m'(x) = E' [I'(x)] Om'(x) =E[I'(x)] I'(x) O m'(x) = E' [I(x)]I'(x) , provided that E' [I(x)]
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- Let f and g be functions that satisfy f' (2) = -6 and g' (2) = -3. Find h' (2) for each function h given below: (A) h(x) = 6f(x). h'(2) = (C) h(x) = 4f(x) + 3g(x). h'(2) = (D) h(x) = 8g(x) – 3 f(x). h'(2) = %3D (Е) h(x) —D 10f(х) + 9g(х) + 8. h'(2): (F h(x) — — 12g(х) — 3f(х) — 6х. h'(2) =Find f’(3) and g’(3)Let f(x) = (x + 2x + 5)* f'(x) = f'(4) =