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

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  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

The derivative of√x at x =a is:

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

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

• 2 A
• 3 B
• -2 C
• 4 D

• 100 A
• -100 B
• 0 C
• -101 D

If∱(x) = x^-100the value of∱¹ (1) is:

• 100 A
• -100 B
• 0 C
• -101 D

If y = 1/x² then dy/dx equals:

• -2x A
• x^-3 B
• -2/x³ C
• -2x³ D

If∱(x) = c then∱^{1 (x0 equals:}

• 1 A
• 0 B
• cx C
• c D

If∱(x) = 1/x-2 then∱¹(0) equals:

• -1/4 A
• -3/2 B
• -1/2 C
• 1/5 D

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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

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  B
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  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

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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  B
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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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  B
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If f(x) = c then∱¹(x) equals:

• 1 A
• 0 B
• cx C
• c D

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

• 0 A
• c B
• cx C
• 1 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

if y=x² then dy/dx equals:

• 2x A
• x/2 B
• 2x³ C
• x³/2 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

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

• -1/2
  A
• -4/3 B
• 7/2 C
• -3/4 D

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

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  B
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  D