\"\"

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(a)

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The function is \"\".

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Graph :

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Graph the function \"\" :

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\"\"

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Observe the graph.

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The graph in pink color represents function \"\".

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The graph in green color represents the derivative of the function \"\".

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The value of the derivative of the function at \"\" is \"\".

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\"\".

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The value of the derivative of the function at \"\" is \"\".

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\"\".

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The value of the derivative of the function at \"\" is \"\".

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\"\".

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The value of the derivative of the function at \"\" is \"\".

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\"\".

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The value of the derivative of the function at \"\" is \"\".

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\"\".

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\"\"

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(b)

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Observe the graph.

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Graph of the derivative of the function \"\" is an even function.

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Even function : A function is said to be even function if \"\".

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\"\"

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\"\"

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(c)

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Tabulate the obtained values of the derivative function \"\".

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"
\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"
\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"
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Graph :

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Draw the coordinate plane.

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Plot the points obtained in the table.

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Connect the points using a smooth curve.

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\"\"

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\"\"

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(d)

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The function is \"\".

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Definition of derivative of the function : \"\".

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\"\"

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\"\"

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\"\"

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\"\"

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The derivative of the function is \"\".

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\"\"

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(a) \"\" and \"\".

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(b) \"\" and \"\".

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(c) Graph of \"\" is

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\"\"

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(d) The derivative of the function is \"\".