1) Let such as
,
and also
, where
is a differentiable function at
. Prove that exists
such as
.
2) Let continuous function to
such as
. Also let
such as
and
. Prove that
and
the equation
has at least one real root to
.
3) Let differentiable function to
. Also let
such as
and
. Prove that exists
such as
.