In Exercises 21–48, find the derivative of y with respect to the appropriate variable.
27. y=arccsc(x²+1)

In Exercises 1–24, find the derivative of y with respect to the appropriate variable.

23. y = arccsc(secθ), 0<θ<π/2

In Exercises 21–48, find the derivative of y with respect to the appropriate variable.

21. y=arccos(x²)

In Exercises 21–48, find the derivative of y with respect to the appropriate variable.

23. y=arcsin(√2t)

In Exercises 21–48, find the derivative of y with respect to the appropriate variable.

25. y=arcsec(2s+1)

In Exercises 21–48, find the derivative of y with respect to the appropriate variable.

29. y=arcsec(1/t), 0<t<1

In Exercises 21–48, find the derivative of y with respect to the appropriate variable.

31. y=arccot(√t)

In Exercises 21–48, find the derivative of y with respect to the appropriate variable.

33. y=ln(arctan(x))

In Exercises 21–48, find the derivative of y with respect to the appropriate variable.

35. y=arccsc(e^t)