Question

In Exercises 21-42, find the derivative of y with respect to the appro-priate variable. 21. $y = \cos^{-1}(x^2)$ 23. $y = \sin^{-1}\sqrt{2t}$ 25. $y = \sec^{-1}(2s + 1)$ 27. $y = \csc^{-1}(x^2 + 1)$, $x > 0$ 29. $y = \sec^{-1}\frac{1}{t}$, $0 < t < 1$ 31. $y = \cot^{-1}\sqrt{t}$ 33. $y = \ln(\tan^{-1}x)$ 22. $y = \cos^{-1}(\frac{1}{x})$ 24. $y = \sin^{-1}(1 - t)$ 26. $y = \sec^{-1}5s$ 28. $y = \csc^{-1}\frac{x}{2}$ 30. $y = \sin^{-1}\frac{3}{t^2}$ 32. $y = \cot^{-1}\sqrt{t - 1}$ 34. $y = \tan^{-1}(\ln x)$

          In Exercises 21-42, find the derivative of y with respect to the appro-priate variable.
21. $y = \cos^{-1}(x^2)$
23. $y = \sin^{-1}\sqrt{2t}$
25. $y = \sec^{-1}(2s + 1)$
27. $y = \csc^{-1}(x^2 + 1)$, $x > 0$
29. $y = \sec^{-1}\frac{1}{t}$, $0 < t < 1$
31. $y = \cot^{-1}\sqrt{t}$
33. $y = \ln(\tan^{-1}x)$
22. $y = \cos^{-1}(\frac{1}{x})$
24. $y = \sin^{-1}(1 - t)$
26. $y = \sec^{-1}5s$
28. $y = \csc^{-1}\frac{x}{2}$
30. $y = \sin^{-1}\frac{3}{t^2}$
32. $y = \cot^{-1}\sqrt{t - 1}$
34. $y = \tan^{-1}(\ln x)$

In Exercises 21-42, find the derivative of y with respect to the appro-priate variable.
21. y = cos^-1(x^2)
23. y = sin^-1√(2t)
25. y = sec^-1(2s + 1)
27. y = csc^-1(x^2 + 1), x > 0
29. y = sec^-1(1)/(t), 0 < t < 1
31. y = cot^-1√(t)
33. y = ln(tan^-1x)
22. y = cos^-1((1)/(x))
24. y = sin^-1(1 - t)
26. y = sec^-15s
28. y = csc^-1(x)/(2)
30. y = sin^-1(3)/(t^2)
32. y = cot^-1√(t - 1)
34. y = tan^-1(ln x)

Added by Sara I.

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