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

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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
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  D

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

• 2 A
• 3 B
• -2 C
• 4 D

If y = (7x + 9)², then dy/dx equals:

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

d/dx (cos x²) =

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

If x² + y² = 1, then dy/dx

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

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

• 2x A
• x/2 B
• 2x³ C
• x³/2 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
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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
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  B
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  C
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  D

• 100 A
• -100 B
• 0 C
• -101 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

if y=x² then dy/dx equals:

• 2x A
• x/2 B
• 2x³ C
• x³/2 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

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  A
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  B
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  C
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  D

• mx A
• x/m B
• mx^m-1 C
• xm^m-1 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

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

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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
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  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

If x = at² and y = 2at then dy/dx =

• 2a/y A
• y/2a B
• -a/2y C
• -2y/a D

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  A
• x^n-1 B
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  C
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  D

d/dx(x³ + 2x +3)=

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

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  A
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  B
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  C
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  D