Question

If
F(x) = f(xf(xf(x))),
where
f(1) = 5, f(5) = 6, f '(1) = 3, f '(5) = 4,
and
f '(6) = 5,
find
F '(1).

Answer 1

First use the chain rule to find \(F'(x)\)

Answer 2

yes I used the chain rule and the answer I got was 60, is that correct?

Answer 3

Hell if I know. Show your work maybe?

Answer 4

f ' {1f[1f(1)} times f '[1f(1)]
f ' { f[f(1)} times f '[f(1)] times f '(1)
f '{f[5]} times f '[5] times f '(1)
f '{6} times f '[5] times f '(1)
5 times 4 times 3 = 20 times 3 = 60