ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 18 (Basic Concepts & Definition)

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  D

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  D

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  A
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If y=x^mthen dy/dx equals:

• mx A
• x/m B
• mx^m-1 C
• xm^m-1 D

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  A
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  B
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  C
• None of these D

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If x = at² and y = 2at then dy/dx =

• 2a/y A
• y/2a B
• -a/2y C
• -2y/a D

d / dx (cot x) =

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

if y=x² then dy/dx equals:

• 2x A
• x/2 B
• 2x³ C
• x³/2 D

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  B
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  C
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  D

If f(x) = c then∱¹(x) equals:

• 1 A
• 0 B
• cx C
• c D

• 8 A
• 1/8 B
• 1/3 C
• 2/3 D

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

• -1/2
  A
• -4/3 B
• 7/2 C
• -3/4 D

d/dx (cos x²) =

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

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

• 0 A
• 8 B
• 5 C
• 9 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

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

• 2 A
• 3 B
• -2 C
• 4 D

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  B
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  D

• -2x A
• x^-3 B
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  C
• -2x³ D

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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

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

• 0 A
• c B
• cx C
• 1 D

If∱(x) = c then∱^{1 (x0 equals:}

• 1 A
• 0 B
• cx C
• c D

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

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  D