Second Year Mathematics Chapter 2 Online MCQ Test Differentiation Preparation

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

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

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

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

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

• 0 A
• -1 B
• 1 C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  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

Notation Df(x) for derivative was used by:

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

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

The derivative of x with respect to y is given by:

• 
  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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D