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

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  A
• 
  B
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  C
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  D

• 
  A
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  B
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  C
• 
  D

• 
  A
• 
  B
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  C
• 
  D

If∱(x) = 2x³ + 1 then∱¹(0) =

• 0 A
• 1 B
• 6 C
• None of these D

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  A
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  B
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  C
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  D

If y = 1/x² then dy/dx equals:

• -2x A
• x^-3 B
• -2/x³ C
• -2x³ D

If y = xⁿthen dy/dx equals:

• nx A
• x^n-1 B
• nx^n-1 C
• n D

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

The derivative of√x at x =a is:

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

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

• 0 A
• 8 B
• 5 C
• 9 D

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  A
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  B
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  C
• 
  D

• 0 A
• 8 B
• 5 C
• 9 D

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  A
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  B
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  C
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  D

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  A
• x^n-1 B
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  C
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  D

If x² + y² = 1, then dy/dx

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

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  A
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  B
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  C
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  D

• -2x A
• x^-3 B
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  C
• -2x³ D

If∱(x) = 1/x-2 then∱¹(0) equals:

• -1/4 A
• -3/2 B
• -1/2 C
• 1/5 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

• 1 A
• 0 B
• cx C
• c D

If∱(x) = x^-100the value of∱¹ (1) is:

• 100 A
• -100 B
• 0 C
• -101 D

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

• 2 A
• 3 B
• -2 C
• 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

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  A
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  B
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  C
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  D

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  A
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  B
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  C
• None of these D

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  A
• 
  B
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  C
• 
  D

• mx A
• x/m B
• mx^m-1 C
• xm^m-1 D