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

if x∈ D∱ and∱^{1(x) exists, then}∱ is said to be

• zero at x A
• Differentiable at x B
• Continuous at x C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• zero at x A
• differentiable at x B
• continuous at x C
• none of these D

If y = xⁿthen dy/dx equals:

• nx A
• x^n-1 B
• nx^n-1 C
• n D

• 
  A
• 
  B
• 
  C
• 
  D

The derivative of 1/x^m is:

• x^m+1/ m A
• m(x)^m-1 B
• (m-1) x^-m C
• m/x^m+1 D

• 
  A
• 
  B
• 
  C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

if y=x² then dy/dx equals:

• 2x A
• x/2 B
• 2x³ C
• x³/2 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

d/dx (cosec x)

• -sec x tan x A
• sin x cos x B
• -csc x cot x C
• 2sin x cos x D

If y = (7x + 9)², then dy/dx equals:

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

• 1 A
• 0 B
• cx C
• c D

• 
  A
• 
  B
• 
  C
• 
  D

• -2x A
• x^-3 B
• 
  C
• -2x³ D

• 
  A
• 
  B
• 
  C
• 
  D

• 8 A
• 1/8 B
• 1/3 C
• 2/3 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

• 
  A
• 
  B
• 
  C
• 
  D

∱(x) = ax²-3x -5, and∱¹ (2) = 9, a is equal to

• 2 A
• 3 B
• -2 C
• 4 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Differentiation of sin x w.r.t. cot x is:

• -sin² x sec x A
• -cos x sin² x B
• -cos² x tan x C
• -sin² x D

If y=x^mthen dy/dx equals:

• mx A
• x/m B
• mx^m-1 C
• xm^m-1 D

d / dx (cot x) =

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

• 
  A
• 
  B
• 
  C
• 
  D

d/dx (cos x²) =

• -2x cos x A
• -2x sin x² B
• -2x tan x C
• -2x sec² x D

If∱(x) = 2x³ + 1 then∱¹(0) =

• 0 A
• 1 B
• 6 C
• None of these 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