2nd Year Mathematics Chapter 2 Online MCQ Test for 12th Class Mathematics Unit 2 (Differentiation)

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• tan x A
• cot x B
• - tan x C
• - cot x D

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

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

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

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

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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