Second Year Mathematics Chapter 2 Online MCQ Test Differentiation Preparation

• 
  A
• 
  B
• 
  C
• 
  D

If y = f(u) and u = F(x), then:

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

Sir Isaac Newton was a(an) --------- mathematician.

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

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

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

Notation Df(x) for derivative was used by:

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

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• c A
• 0 B
• 1 C
• -c D