Let $\"\"$ .

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Differentiate with respect to t we get,

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$\"\"$

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$\"\"$

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Apply product rule: $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Let $\"\"$ .

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Differentiate with respect to t we get,

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$\"\"$

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Apply product rule: $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Differentiate with respect to t we get,

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$\"\"$

\