Second Year Mathematics Chapter 2 Online MCQ Test Differentiation Preparation

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

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

• German A
• French B
• Swiss C
• English 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

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• c A
• 0 B
• 1 C
• -c D

The Maclaurin series expansion is valid only if it is:

• Convergent A
• Divergent B
• Increasing C
• Decreasing D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• 1 B
• -1 C
• 2 D

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

• 0 A
• -1 B
• 1 C
• 
  D

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

Notation Df(x) for derivative was used by:

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