Second Year Mathematics Chapter 2 Online MCQ Test Differentiation Preparation

• x with respect to y A
• y with respect to y B
• y with respect to x C
• x with respect to x D

• 0 A
• 1 B
• -1 C
• 2 D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

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

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

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

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

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

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

The Maclaurin series expansion is valid only if it is:

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