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

If∱(x) = c then∱^{1 (x0 equals:}

• 1 A
• 0 B
• cx C
• c D

If y = 1/x² then dy/dx equals:

• -2x A
• x^-3 B
• -2/x³ C
• -2x³ D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = c then∱¹(x) equals:

• 1 A
• 0 B
• cx C
• c D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• x^n-1 B
• 
  C
• 
  D

If y = (7x + 9)², then dy/dx equals:

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

• 8 A
• 1/8 B
• 1/3 C
• 2/3 D

If∱(x) = x^-100the value of∱¹ (1) is:

• 100 A
• -100 B
• 0 C
• -101 D

• 1 A
• 0 B
• cx C
• c D

• 
  A
• 
  B
• 
  C
• None of these D

• -2x A
• x^-3 B
• 
  C
• -2x³ D

If∱(x) = 2x³ + 1 then∱¹(0) =

• 0 A
• 1 B
• 6 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If y = 3 x + 2cos x, then dy/dx =

• 3-2 sin x A
• 3-t sin x B
• 3x² - 2sin x C
• 3(1-4 sin x) D

• 
  A
• 
  B
• 
  C
• 
  D

d/dx [tan² x]

• 2tan x sec² x A
• 2tan x sec x B
• 2 cot x tan x C
• 2sec² x cos² x D

If∱(x) = 1/x-2 then∱¹(0) equals:

• -1/4 A
• -3/2 B
• -1/2 C
• 1/5 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

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

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

If x = at² and y = 2at then dy/dx =

• 2a/y A
• y/2a B
• -a/2y C
• -2y/a D

If y=x^mthen dy/dx equals:

• mx A
• x/m B
• mx^m-1 C
• xm^m-1 D

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

• 0 A
• 8 B
• 5 C
• 9 D

• 
  A
• 
  B
• 
  C
• 
  D