Second Year Mathematics Chapter 2 Online MCQ Test Differentiation Preparation

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 0 A
• -1 B
• 1 C
• 
  D

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

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

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

• 0 A
• 1 B
• -1 C
• 2 D

• 
  A
• 
  B
• 
  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

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

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

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

The Maclaurin series expansion is valid only if it is:

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

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

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

Notation Df(x) for derivative was used by:

• Cauchy A
• Newton B
• Leibniz C
• Lagrange 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

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

• c A
• 0 B
• 1 C
• -c D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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