$\"\"$

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(a).

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The function is $\"\"$ .

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In order to find the second derivative,Initially we need to find the first derivative.

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$\"\"$ .

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Differentiate with respect to $\"\"$ .

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$\"\"$

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$\"\"$ .

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Now again apply differentiation with respecti to $\"\"$ .

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$\"\"$

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$\"\"$

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(b).

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The function is $\"\"$ .

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In order to find the third derivative, initially we need to find the first and second derivatives.

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$\"\"$ .

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Differentiate $\"\"$ with respect to $\"\"$ .

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$\"\"$

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Differentiate $\"\"$ with respect to $\"\"$ to find the second derivative.

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$\"\"$

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Differentiate $\"\"$ with respect to $\"\"$ to find the third derivative.

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$\"\"$

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$\"\"$

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(c).

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The function is $\"\"$ .

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In order to find the third derivative,Initially we need to find the first,second and third derivatives.

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$\"\"$ .

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Differentiate $\"\"$ with respect to $\"\"$ .

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$\"\"$

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Differentiate $\"\"$ with respect to $\"\"$ to find the second derivative.

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$\"\"$

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Differentiate $\"\"$ with respect to $\"\"$ to find the third derivative.

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$\"\"$

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Differentiate $\"\"$ with respect to $\"\"$ to find the fourth derivative.

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$\"\"$

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$\"\"$

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(a)

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The second derivative of $\"\"$ is $\"\"$ .

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(b).

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The third derivative of $\"\"$ is $\"\"$ .

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(c).

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The fourth derivative of $\"\"$ is $\"\"$ .