Second Year Mathematics Chapter 2 Online MCQ Test Differentiation Preparation

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

Notation Df(x) for derivative was used by:

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

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

• 0 A
• -1 B
• 1 C
• 
  D

• 0 A
• 1 B
• -1 C
• 2 D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• sech x tanh x A
• -sech x tanhx B
• sech² x C
• -sech²x D