In Exercises 21–48, find the derivative of y with respect to the appropriate variable.
35. y=arccsc(e^t)

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

27. y=arccsc(x²+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.

37. y=s√(1-s²) + arccos(s)

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

39. y=arctan√(x²-1) + arccsc(x), x>1

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

41. y= x arcsin(x) + √(1-x²)

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

43. y=√(arcsin x)