Use the values in the table below to answer each of the following: f(x) g(x) f'(x) g'(x) 5 1 -1 -3 h'(4) X = 4 8 16 4 3 (a) Let h(x) = f(x²) g(x) 7 -2 3 0 Find h'(x). 5 ○ h'(x) = 2xg(x) f'(x²)—f(x²) g'(x) (g(x))² 6 ○ h'(x) = f(x²) g'(x)−g(x) f'(x²) (g(x))² I ○ h'(x) = g(x) f'(x²)—f(x²) g'(x) (g(x))² ○ h'(x) = f(x²) g'(x)−2xg(x)f'(x²) (g(x))² which tells us that h(x) is ---Select--- ✓ at x = 4 p'(x) = g'(g(x)) g'(x) p'(x) = 2g'(g(x)) (b) Let p(x) = g(g(x)). Find p'(x). p'(x) = 2g'(g(x)) g(x)+g (g(x)) g(x) p'(x) = g'(g(x)) g(x)+g (g(x)) g(x) Op'(x) = g'(g(x))

Q: 39.3

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