12th class Mathematics chapter 2 online mcq test with answers for Fa part 2 Mathematics Chapter 2 (Differentiation)

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

Notation Df(x) for derivative was used by:

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

• 
  A
• 
  B
• 
  C
• 
  D

If y = f(u) and u = F(x), then:

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

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

If s is the distance traveled by a body at time t, the velocity is given by the expression:

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  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

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

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

The small change in the value ofx, positive or negative is called the -------- of x.

• Increment A
• Differential B
• Derivative C
• none of these D

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

• 0 A
• -1 B
• 1 C
• 
  D