avWee8nopali avWee8nopali

23-11-2016
Mathematics

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Suppose that F(x)=f(g(x)) and g(14)=2, g'(14)=5, f'(14)=15, and f'(2)=12. Find F'(14.)

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nobillionaireNobley nobillionaireNobley

25-11-2016

F(x) = f(g(x))
F'(x) = f'(g(x)) * g'(x)
F'(14) = f'(g(14)) * g'(14) = f'(2) * 5 = 12 * 5 = 60

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