Second Year Mathematics Chapter 2 Online MCQ Test Differentiation Preparation

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

• 
  A
• 
  B
• 
  C
• 
  D

• 1 (1 - 4) A
• 2x - 3 B
• x - 3 C
• x³ - 3x D

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

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

Gottfried Whilhelm Leibniz was a (an) ----- mathematician:

• German A
• English B
• Swiss C
• French D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

Notation Df(x) for derivative was used by:

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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