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

15. y = sin⁻¹√(1-u²), 0<u<1

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

17. y = ln(arccos(x))

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

19. y = t arctan(t) - 1/2 ln(t)

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

21. y = z arcsec(z) - √(z² - 1), z>1

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.

31. y=arccot(√t)

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)