Second Year Mathematics Chapter 2 Online MCQ Test Differentiation Preparation

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = cos x then f'(0) is equal to:

• 0 A
• -1 B
• 1 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

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

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

Notation Df(x) for derivative was used by:

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