Second Year Mathematics Chapter 2 Online MCQ Test Differentiation Preparation

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

The Maclaurin series expansion is valid only if it is:

• Convergent A
• Divergent B
• Increasing C
• Decreasing D

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

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

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

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

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

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

• 
  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

• 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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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