Second Year Mathematics Chapter 2 Online MCQ Test Differentiation Preparation

• x with respect to y A
• y with respect to y B
• y with respect to x C
• x with respect to x D

• 
  A
• 
  B
• 
  C
• 
  D

• sin x A
• cos x B
• -sin x C
• -cos x D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

For a square of side x units, the rate of change of area with respect to the side is given by:

• x A
• x² B
• 2x C
• 2 D

• sinh x A
• cosh x B
• -sinh x C
• -cosh x D

The function f(x) = 3x² has minimum value at :

• x = 3 A
• x = 2 B
• x = 1 C
• x = 0 D

• 
  A
• 
  B
• 
  C
• 
  D

• Lagrange A
• Newtown B
• Leibniz C
• Cauchy D

• sec x tan x A
• sec²x B
• -sec x tan x C
• -sec²x D

• 0 A
• 1 B
• -1 C
• 2 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• sinh x A
• cosh x B
• -sinh x C
• -cosh x D

The Maclaurin series expansion is valid only if it is:

• Convergent A
• Divergent B
• Increasing C
• Decreasing D

The small change in the value ofx, positive or negative is called the -------- of x.

• Increment A
• Differential B
• Derivative C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• x = a A
• x = 2 B
• x = 0 C
• None D

• - cosec² x A
• cosec²x B
• - cosec x cot x C
• cosec x cot x D