Second Year Mathematics Chapter 2 Online MCQ Test Differentiation Preparation

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 0 A
• 1 B
• -1 C
• 2 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

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

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

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

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

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

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

Notation Df(x) for derivative was used by:

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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