ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 18

If x = at² and y = 2at then dy/dx =

• 2a/y A
• y/2a B
• -a/2y C
• -2y/a D

• 
  A
• 
  B
• 
  C
• 
  D

If 3x + 4y +7 = 0 , then dy / dx =

• -1/2
  A
• -4/3 B
• 7/2 C
• -3/4 D

Let∫ be real valued function continuous in the interval (x,x₁)⊆ D∫ (the domain of∫),

then∱(x₁) -∱ (x)/x₁-x represents:

• Instantaneous rate A
• Average rate of change B
• Differential coefficient C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The derivative of√x at x =a is:

• 1/2a A
• 2 / √a B
• 2√x C
• 1 / 2√x D

If∱(x) = c then∱^{1 (x0 equals:}

• 1 A
• 0 B
• cx C
• c D

• 
  A
• 
  B
• 
  C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

If c is a constant, then d/dx (c) =

• 0 A
• c B
• cx C
• 1 D

• 
  A
• 
  B
• 
  C
• 
  D

• 100 A
• -100 B
• 0 C
• -101 D

d/dx (cos x sin x) =

• cos² x - sin² x A
• 2cos² x + sin² x B
• 2cos² x - sin² x C
• 1 - sin² x D

• 0 A
• 8 B
• 5 C
• 9 D

• 
  A
• 
  B
• 
  C
• 
  D

If∱(x) = x⁵ + x³ + x the value of∱¹(1) is:

• 0 A
• 8 B
• 5 C
• 9 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If x =1 -t² and y =3t² - 2t³ then dy/dx =

• (1-t) A
• 3(1+t) B
• 3(t-1) C
• 3/1-t D

• x²+ 2 A
• 3x + 2 B
• 3x²+ 5 C
• 3x²+ 2 D

• 2x A
• x/2 B
• 2x³ C
• x³/2 D

If y=x^mthen dy/dx equals:

• mx A
• x/m B
• mx^m-1 C
• xm^m-1 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If y = (7x + 9)², then dy/dx equals:

• 98x +126 A
• 14x B
• 14x +18 C
• 14x+81 D

If∱(x) = x^-100the value of∱¹ (1) is:

• 100 A
• -100 B
• 0 C
• -101 D

If x² + y² = 1, then dy/dx

• y/x A
• -x/y B
• 1/x C
• None of these D

d / dx (cot x) =

• Sec x tan x A
• -csc² x B
• Sec² x C
• 1/cot² x D

If∱(x) = 2x³ + 1 then∱¹(0) =

• 0 A
• 1 B
• 6 C
• None of these D