Below are the answers key for the Multiple Choice Questions in Differential Calculus (Limits and Derivatives) Part 2.

51. B. 1

52. B. 8

53. A. 2/5

54. C. 1/7

55. B. 0

56. A. 1

57. B. ½

58. D. e2/π

59. B. 52x-1 ln 25

60. A. e√x / 2√x

61. C. 4t3 + 14t

62. B. –[(4x + y) / (x + y)]

63. A. DF(x) = (-x2 – 10x – 1) / (x2 – 1)2

64. A. a xa-1

65. Df(x) = 4x + 8

66. A. – y(1 + ln xy) / x

67. B.

68. C. 2x

69. B. -3x / √(2 – 3×2

70. B. 2ax

71. C. 1 / 2x

72. D. sec2 Ѳ dѲ

73. D. –sin x

74. B. 2 cos (ln x2) / x

75. C. –tan x

76. B. -4 / [1 – (4x)]^0.5

77. D. 3 / √(1 – 9×2)

78. C. 1 / x

79. B. 0.375

80. A. 7

81. A. 6

82. C. y^{2}

83. A. (1, 2)

84. A. 1

85. A. 3/5

86. B. 1

87. C. -0.1768

88. C. 24

89. A. -3/2

90. B. ¼

91. A. 2/5

92. B. 1.5

93. A. 77°

94. D. 77.47°

95. A. 7x – 6y + 14 = 0

96. C. 5.66

97. C. sec x

98. D. 22.4

99. D. 5.27

100. D. 64x + 5y = 0

### Online Question and Answer in Differential Calculus (Limits and Derivatives) Series

Following is the list of multiple choice questions in this brand new series:

**MCQ in Differential Calculus (Limits and Derivatives)**

**MCQ from Number 1 – 50**Answer key:

**PART 1**

**MCQ from Number 51 – 100**Answer key:

**PART 2**

### Online Question and Answer in Differential Calculus (Maxima/Minima and Time Rates) Series

Following is the list of multiple choice questions in this brand new series:

**MCQ in Differential Calculus (Maxima/Minima and Time Rates)**

**MCQ from Number 1 – 50**Answer key:

**PART 1**

**MCQ from Number 2 – 100**Answer key:

**PART 2**

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#82 answer is wrong…the answer should be letter c because in the partial derivative of xy^2-5y+6, we treat y as a constant. Therefore getting the derivative of xy^2 is y^2 and the derivative of -5y is zero (because we treat y as a constant).