The function is .

Consider , .

Apply derivative on each side with respect to .

Quotient rule of derivatives : .

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Consider , .

Apply derivative on each side with respect to .

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Consider , .

Apply derivative on each side with respect to .

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Consider , .

Apply derivative on each side with respect to .

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Observe the sequence.

For , .

For , .

For , .

For , .

The first derivative in terms of can be written as .

in terms of is .