Second Year Mathematics Chapter 2 Online MCQ Test Differentiation Preparation

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

• c A
• 0 B
• 1 C
• -c D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

• 1 (1 - 4) A
• 2x - 3 B
• x - 3 C
• x³ - 3x D

Notation Df(x) for derivative was used by:

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• -1 B
• 1 C
• 
  D

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