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Finding a Derivative In Exercises 41-56, find the derivative of the function.

41. f(x) = arcsin(x + 1)

42. f(t) = arccsc(t^2)

43. g(x) = 3arccos(2x)

44. f(x) = arctan(e^arcsin(3x))

45. g(x) = arcsec(x)

46. f(x) = arccot(x)

47. h(x) = x^2arctan(sqrt(x))

48. h(x) = x^2arctan(sqrt(x))

49. h(t) = sin(arccos(t))

50. f(x) = arcsin(x) + arccos(x)

51. y = 2xarccos(sqrt(1 – x^2))

52. y = xarctan(2x) + ln(1 + 42)

53. y = ln(arctan(x))

54. y = sqrt(4 – x) + 4arcsin(3/16)

55. y = 8arcsin(x)

56. y = arctan(x) + x^2

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02:35

Finding a Derivative of a Trigonometric Function In Exercises $41-56,$ find the derivative of the trigonometric function.$y=2 x \sin x+x^{2} \cos x$

00:21

In Exercises $41-56,$ find the derivative of the function.$$f(x)=\arcsin x+\arccos x$$

02:22

In Exercises $41-56,$ find the derivative of the function.$$y=\frac{1}{2}\left[x \sqrt{4-x^{2}}+4 \arcsin \frac{x}{2}\right]$$

01:05

Finding a Derivative of a Trigonometric Function In Exercises $41-56,$ find the derivative of the trigonometric function.$f(x)=x^{2} \tan x$

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