71. As x increased from \[ - \infty \] to \[\infty \] , the function \[{\rm{f}}\left( {\rm{x}} \right) = \frac{{{{\rm{e}}^{\rm{x}}}}}{{1 + {{\rm{e}}^{\rm{x}}}}}\]
72. The value of \[\mathop {\lim }\limits_{{\text{x}} \to 1} \frac{{{{\text{x}}^7} - 2{{\text{x}}^5} + 1}}{{{{\text{x}}^3} - 3{{\text{x}}^2} + 2}}\]
73. \[\mathop {{\text{Lim}}}\limits_{{\text{x}} \to 0} \frac{{{\text{x}} - \sin {\text{x}}}}{{1 - \cos {\text{x}}}}\]
74. Let f = yx. What is \[\frac{{{\partial ^2}{\text{f}}}}{{\partial {\text{x}}\partial {\text{y}}}}\] at x = 2, y = 1?
75. Given y = x2 + 2x + 10, the value of \[{\left. {\frac{{{\text{dy}}}}{{{\text{dx}}}}} \right|_{{\text{x}} = 1}}\] is equal to
76. A sphere of unit radius is centered at the origin. The unit normal at a point (x, y, z) on the surface of the sphere is the vector
77. The total derivative of function xy is
78. \[\mathop {{\text{Lim}}}\limits_{{\text{x}} \to 0} \left( {\frac{{{{\text{e}}^{2{\text{x}}}} - 1}}{{\sin \left( {4{\text{x}}} \right)}}} \right)\] is equal to
79. The value of the function \[{\text{f}}\left( {\text{x}} \right) = \mathop {\lim }\limits_{{\text{x}} \to 0} \frac{{{{\text{x}}^3} + {{\text{x}}^2}}}{{2{{\text{x}}^3} - 7{{\text{x}}^2}}}\] is
80. Consider the function f(x) = |x|3, where x is real. Then the function f(x) at x = 0 is
Read More Section(Calculus)
Each Section contains maximum 100 MCQs question on Calculus. To get more questions visit other sections.