Let
f
and
g
be inverse functions that are differentiable for all
x
. If
f(3)=-2
g^(')(-2)=-4
, which of the following statements must be false?
f^(')(0)=(1)/(4)
II.
f^(')(3)=-(1)/(4)
III.
f^(')(5)=-(1)/(4)
III only (D) I and ill only