2nd Year Mathematics Chapter 2 Online MCQ Test for 12th Class Mathematics Unit 2 (Differentiation)

Notation Df(x) for derivative was used by:

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

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• -1 C
• 2 D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• x = a A
• for all x B
• 
  C
• x = 0 D

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

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

• 
  A
• 
  B
• 
  C
• 
  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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• sech x tanh x A
• -sech x tanhx B
• sech² x C
• -sech²x D

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