The function is .

Consider , .

Apply derivative on each side with respect to .

Quotient rule of derivatives : .

.

Consider , .

Apply derivative on each side with respect to .

.

.

Consider , .

Apply derivative on each side with respect to .

.

.

Consider , .

Apply derivative on each side with respect to .

.

.

Observe the sequence.

For , .

For , .

For , .

For , .

The first derivative  in terms of  can be written as .

 in terms of  is .