The functions are and
.
Observe the graph: ,
,
and
.
(a)
\Find .
Apply derivative on each side with respect to .
Substitute .
Substitute ,
and
.
.
(b)
\Find .
The function is .
Observe the graph: and
does not exist.
Apply derivative on each side with respect to .
Substitute .
Substitute .
.
does not exist, because
is not differentiable at
.
Therefore, does not exist.
(a) .
(b) does not exist.