(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
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.
The value of the derivative of the function at is
.
.
The value of the derivative of the function at is
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.
The value of the derivative of the function at is
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.
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.
\(d)
\The function is .
Definition of derivative of the function : .
The derivative of the function is .
(a) and
.
(b) and
.
(c) Graph of is
(d) The derivative of the function is .