﻿ Engineering Entrance Exam Question and Answers | Limits and Derivatives - Zigya

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# Limits and Derivatives

#### Multiple Choice Questions

91.

If x > 0, xy = ex - y, then $\frac{\mathrm{dy}}{\mathrm{dx}}$ is equal to

92.

• e

• p

• q

• 0

93.

• $\infty$

• $\frac{1}{2}$

• 4

• 1

94.

• $1}{2}$

• 1

• $3}{2}$

95.

If f(x) =

where [x] denotes the greatest integer not exceeding x, then $\underset{\mathrm{x}\to {0}^{-}}{\mathrm{lim}}\mathrm{f}\left(\mathrm{x}\right)$ is equal to

• - 1

• 0

• 1

• 2

96.

If f(x) =

then f'(2+) is equal to

• 0

• 2

• 3

• 4

97.

If 2x2 - 3xy + y2 + x + 2y - 8 = 0, then : $\frac{\mathrm{dy}}{\mathrm{dx}}$ is equal to

98.

• 1

• 2

• 3

• 4

99.

• - 1

• 0

• 1

• 2

100.

• $\mathrm{cot}\left(\mathrm{\theta }\right)$

• $\mathrm{tan}\left(\mathrm{\theta }\right)$

• $\mathrm{sin}\left(\mathrm{\theta }\right)$

• $\mathrm{cos}\left(\mathrm{\theta }\right)$