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17 December, 19:47

If g' (8) = 4 and h' (8) = 17, find f' (8) for f (x) = 1/2g (x) + 1/4h (x).

f' (8) =

+3
Answers (2)
  1. 17 December, 20:17
    0
    F' (8) = (1 / 2) * g' (8) + (1 / 4) * h' (4) = 4 / 2 + 17 / 4 = (8 + 17) / 4 = 25 / 4 = 6.25.
  2. 17 December, 23:17
    0
    F (x) = 1/2g (x) + 1/4h (x) ddIf f (x) = (1/2) g (x) + (1/4) h (x) then

    f ' (x) = (1/2) g' (x) + (1/4) h' (x), g ' (8) = 4, h' (8) = 17.

    f ' (8) = (1/2) * 4 + (1/4) * 17 = 2 + 17/4 = 2 + 4.25

    f ' (8) = 6.25

    Cheers.
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