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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  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

Notation Df(x) for derivative was used by:

• Cauchy A
• Newton B
• Leibniz C
• Lagrange 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

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

• 0 A
• 1 B
• -1 C
• 2 D

• 
  A
• 
  B
• 
  C
• 
  D

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

The Maclaurin series expansion is valid only if it is:

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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