Second Year Mathematics Chapter 2 Online MCQ Test Differentiation Preparation

• 
  A
• 
  B
• 
  C
• 
  D

Notation Df(x) for derivative was used by:

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

• Lagrange A
• Newtown B
• Leibniz C
• Cauchy 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

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

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

The Maclaurin series expansion is valid only if it is:

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• c A
• 0 B
• 1 C
• -c D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D