The functions are
and
.
The function is
.
Apply derivative on each side with respect to
.


Find
.
Substitute
in the
.

The function is
.
Apply derivative on each side with respect to
.


Find
.
Substitute
in the above function.

(a)
\Observe the graph of
and
:
and
.
Find
and
.
Slope of a tangent line
and
:
.
Draw a tangent line on the graph of the function
.
Consider two points on the tangent line
and
.
Slope of a tangent line
and
:
.
Therefore
.
Draw a tangent line on the graph of the function
.
Consider two points on the tangent line
and
.
Slope of a tangent line
and
:
.
Therefore
.
Substitute
,
,
and
in equation
.

.
(b)
\Observe the graph of
and
:
and
.
Find
and
.
Draw a tangent line on the graph of the function
.
Consider two points on the tangent line
and
.
Slope of a tangent line
and
:
.
Therefore
.
Draw a tangent line on the graph of the function
.
Consider two points on the tangent line
and
.
Slope of a tangent line
and
:
.
Therefore
.
Substitute
,
,
and
in the equation
.

.
(a)
.
(b)
.