47. y=(1+2tanu)4.5 48. y=(1−ex)4 49. y=1+cot2x 50. g(x)=e3xx 51. y=32ex+3e−x 52. f(x)=xe7x 53. y=sin(sin(ex)) 54. y=sin2(e3x+1) 55. y=sin5(cos3x) 56. y=cos7/4(4x3) 57. y=1+e2te2t 58. y=(1−e−0.05x)−1 59. y=x+x 60. y=x+x+x 61. y=f(g(x2)), where f and g are differentiable for all real numbers 62. y=(f(g(xm)))n, where f and g are differentiable for all real

Resuelto 47. y=(1+2tanu)4.5 48. y=(1−ex)4 49. y=1+cot2x 50.

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Pregunta: 47. y=(1+2tanu)4.5 48. y=(1−ex)4 49. y=1+cot2x 50. g(x)=e3xx 51. y=32ex+3e−x 52. f(x)=xe7x 53. y=sin(sin(ex)) 54. y=sin2(e3x+1) 55. y=sin5(cos3x) 56. y=cos7/4(4x3) 57. y=1+e2te2t 58. y=(1−e−0.05x)−1 59. y=x+x 60. y=x+x+x 61. y=f(g(x2)), where f and g are differentiable for all real numbers 62. y=(f(g(xm)))n, where f and g are differentiable for all real
47,50,63,65,67

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Texto de la transcripción de la imagen:

47.

y = (1 + 2 tan u)^{4.5}

48.

y = (1 - e^{x})^{4}

49.

y = 1 + cot^{2} x

50.

g (x) = \frac{x}{e ^{3 x}}

51.

y = \frac{2 e ^{x} + 3 e ^{- x}}{3}

52.

f (x) = x e^{7 x}

53.

y = sin (sin (e^{x}))

54.

y = sin^{2} (e^{3 x + 1})

55.

y = sin^{5} (cos 3 x)

56.

y = cos^{7/4} (4 x^{3})

57.

y = \frac{e ^{2 t}}{1 + e ^{2 t}}

58.

y = (1 - e^{- 0.05 x})^{- 1}

59.

y = x + x

60.

y = x + x + x

61.

y = f (g (x^{2}))

, where

f

and

g

are differentiable for all real numbers 62.

y = (f (g (x^{m})))^{n}

, where

f

and

g

are differentiable for all real numbers and

m

and

n

are constants 63.

y = (\frac{x}{x + 1})^{5}

64.

y = (\frac{e ^{x}}{x + 1})^{8}

65.

y = e^{x^{2} + 1} sin x^{3}

66.

y = tan (x e^{x})

67.

y = θ^{2} sec 5 θ

68.

y = (\frac{3 x}{4 x + 2})^{5}

69.

y = ((x + 2) (x^{2} + 1))^{4}

70.

y = e^{2 x} (2 x - 7)^{5}