(a)
\The function is
.
Graph :
\Graph the function
:

Observe the graph.
\The graph in pink color represents function
.
The graph in green color represents the derivative of the function
.
The value of the derivative of the function at
is
.
.
The value of the derivative of the function at
is
.
.
The value of the derivative of the function at
is
.
.
The value of the derivative of the function at
is
.
.
The value of the derivative of the function at
is
.
.
(b)
\Observe the graph.
\Graph of the derivative of the function
is an even function.
Even function : A function is said to be even function if
.

(c)
\Tabulate the obtained values of the derivative function
.
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Graph :
\Draw the coordinate plane.
\Plot the points obtained in the table.
\Connect the points using a smooth curve.
\(1).gif\")
(d)
\The function is
.
Definition of derivative of the function :
.




The derivative of the function is
.
(a)
and
.
(b)
and
.
(c) Graph of
is
(1).gif\")
(d) The derivative of the function is
.