B Blikus New member Joined Oct 1, 2006 Messages 1 Oct 1, 2006 #1 Let F(x) = f(f(x)) and G(x) = F(x)^2. Also let f(4) = 11, f(11) = 3, f'(11) = 14, f'(4) = 13. Find F'(4) and G'(4) Any help guys? Edit: Thank you so much!
Let F(x) = f(f(x)) and G(x) = F(x)^2. Also let f(4) = 11, f(11) = 3, f'(11) = 14, f'(4) = 13. Find F'(4) and G'(4) Any help guys? Edit: Thank you so much!
stapel Super Moderator Staff member Joined Feb 4, 2004 Messages 16,550 Oct 1, 2006 #2 If F(x) = f(f(x)) then, by the Chain Rule, F'(x) = f'(f(x)) f'(x). If G(x) = [F(x)]<sup>2</sup> then, by the Chain Rule, G'(x) = 2[F(x)][F'(x)]. Apply the formulas and plug in the values. Eliz.
If F(x) = f(f(x)) then, by the Chain Rule, F'(x) = f'(f(x)) f'(x). If G(x) = [F(x)]<sup>2</sup> then, by the Chain Rule, G'(x) = 2[F(x)][F'(x)]. Apply the formulas and plug in the values. Eliz.
