Step 1 :

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The function is $\"\"$ .

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Apply derivative with respect to t.

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$\"\"$

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$\"\"$

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Step 2 :

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(a)

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Step 3 :

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(b)

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Step 4 :

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(c)

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Solution :

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(a) $\"\"$ .

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(b) $\"\"$ .

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(c) $\"\"$ .