How would you solve this?
Let F(x)=f(f(x)) and G(x)=(F(x))^2
and suppose that f(6)=4, f(4)=2, f'(4)=11, f'(6)=10
Find
F'(6)=
G'(6)=
Let F(x)=f(f(x)) and G(x)=(F(x))^2
and suppose that f(6)=4, f(4)=2, f'(4)=11, f'(6)=10
Find
F'(6)=
G'(6)=
1 Answer
Oct 26, 2016
Explanation:
Apply the chain rule:
#=f'(f(x))(d/dxf(x))#
#=f'(f(x))f'(x)#
#2F(x)(d/dxF(x))#
#=2f(f(x))f'(f(x))f'(x)#
Substituting in
#=f'(4)*10#
#=11*10#
#=110#
#=2f(4)f'(4)*10#
#=2*2*11*10#
#=440#