Suppose that F (x) = f(g(x)) and g(3) = 6, g'(3) = 4, f'(3) = 2, and f'(6) = 7. Find F'(3)

HOME > Mathematics > Suppose that F (x) = f(g(x)) and g(3) = 6, g'(3) = 4, f'(3) = 2, and f'(6) = 7. Find F'(3)

Suppose that F (x) = f(g(x)) and g(3) = 6, g'(3) = 4, f'(3) = 2, and f'(6) = 7. Find F'(3)

[From: ] [author: ] [Date: 11-10-24] [Hit: ]

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Suppose that F (x) = f(g(x)) and g(3) = 6, g'(3) = 4, f'(3) = 2, and f'(6) = 7.
Find F'(3)

By the Chain Rule,
F'(3) = f '(g(3)) * g'(3)
.........= f '(6) * 4
.........= 7 * 4
.........= 28.

I hope this helps!

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