If g' (3) = 8 and h' (-3) = 6, find f' (-3) for f (x) = - 3g (x) - 2h (x) + 3

Given f (x) = - 3g (x) - 2h (x) + 3, find the derivative, f ' (x):

f ' (x) = - 2g ' (x) - 2h ' (x)

Substituting the given values for g ' (3) and h ' (3):

f ' (x) = - 2 (8) - 2 (6) = - 16 - 12 = - 28 (answer)