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7 November, 22:10

Let f f and g g be functions such that f (0) = 7, g (0) = 5, f (0) = 7, g (0) = 5, f ′ (0) = 8, g ′ (0) = 6. f′ (0) = 8, g′ (0) = 6. Find h ′ (0) h′ (0) for the function h (x) = g (x) f (x) h (x) = g (x) f (x). h ′ (0) h′ (0) =

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  1. 7 November, 22:39
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    h' (0) = 82

    Step-by-step explanation:

    h (x) = g (x) f (x), meaning

    h' (x) = g' (x) f (x) + f' (x) g (x)

    h' (0) = g' (0) f (0) + f' (0) g (0)

    h' (0) = (6) (7) + (8) (5) = 42 + 40 = 82
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