12th class Mathematics chapter 2 online mcq test with answers for Fa part 2 Mathematics Chapter 2 (Differentiation)

Notation Df(x) for derivative was used by:

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

• tan x A
• cot x B
• - tan x C
• - cot x D

• 0 A
• 1 B
• -1 C
• 2 D

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

• cosech x coth x A
• -cosech²x B
• -cosech x coth x C
• cosech²x D

If s is the distance traveled by a body at time t, the velocity is given by the expression:

• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• c A
• 0 B
• 1 C
• -c D

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

The instantaneous rate of change of y with respect to x is given by:

• 
  A
• 
  B
• 
  C
• 
  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

The derivative of x with respect to y is given by:

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 2cosh x A
• 2sinh x B
• 2sinh (2x) C
• -2sinh (2x) D

• 
  A
• 
  B
• 
  C
• 
  D

• 5 sin x A
• cosh (5x) B
• 5 cosh (5x) C
• -5 cosh (5x) D