Not enough calculus??

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Let F(x) = f(f(x)) and G(x) = (F(x))2 and f(4) =9, f(9)=2, f'(9)=15, and f'(4)=6

What is F'(4) and G'(4)?

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Posted · Report post

F'(x) = f'(f(x)) * f'(x)

G'(x) = 2 * F(x) * F'(x)

So, for x=4

F'(4) = f'(f(4)) * f'(4) = f'(9) * 6 = 15 * 6 = 90

G'(4) = 2 * F(4) * F'(4) = 2 * 2 * 90 = 360

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