(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) .