Second Year Mathematics Chapter 2 Online MCQ Test Differentiation Preparation

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• German A
• English B
• Swiss C
• French 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

The Maclaurin series expansion is valid only if it is:

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• 1 B
• -1 C
• 2 D

Notation Df(x) for derivative was used by:

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

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

• 
  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