$\"\"$

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The function is $\"\"$ .

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(a)

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$\"\"$

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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The summation starts from $\"\"$ , because the first term of the function was constant, hence its derivative is zero.

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$\"\"$

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Apply formula: $\"\"$ .

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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(b) Show that $\"\"$ .

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Consider $\"\"$ .

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$\"\"$

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Let $\"\"$ .

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$\"\"$

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$\"\"$

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Apply integral on each side.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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(a) $\"\"$ .

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(b) $\"\"$ .