(a)
\Observe the graph.
\Find
.
The solid dot indicates the value of the function.
\The value of the function at
is
.
.
Find
.
The solid dot indicates the value of the function.
\The value of the function at
is
.
.
Find
.
Substitute
and
in the above function.
.
Find
.
Substitute
and
in the above function.
.
Compare the values of
and
.
Hence,
.
(b)
\
is the slope of the tangent at
.
Draw a tangent line to the curve at
.
Consider two points on the tangent line as
and
.
Slope of a tangent line with points
and
:
.
Slope of the tangent line :
.
.
Find
.
(From
)
Compare the values of
and
.
Hence,
.
(a)
.
(b)
.