Question # 1

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8

1/8

1/3

2/3

d/dx (cos x²) =

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-2x cos x

-2x sin x²

-2x tan x

-2x sec² x

If x = at² and y = 2at then dy/dx =

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2a/y

y/2a

-a/2y

-2y/a

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

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-1/2

-4/3

7/2

-3/4

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zero at x

differentiable at x

continuous at x

none of these

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

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0

c

cx

1

If y = 3 x + 2cos x, then dy/dx =

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3-2 sin x

3-t sin x

3x² - 2sin x

3(1-4 sin x)

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The derivative of 1/x^m is:

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x^m+1/ m

m(x)^m-1

(m-1) x^-m

m/x^m+1

d/dx [tan² x]

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2tan x sec² x

2tan x sec x

2 cot x tan x

2sec² x cos² x

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

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2

3

-2

4

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

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0

8

5

9

If y = (7x + 9)², then dy/dx equals:

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98x +126

14x

14x +18

14x+81

d / dx (cot x) =

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Sec x tan x

-csc² x

Sec² x

1/cot² x

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100

-100

0

-101

If∱(x) = 1/x-2 then∱¹(0) equals:

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-1/4

-3/2

-1/2

1/5

Let∫ be real valued function continuous in the interval (x,x₁)⊆ D∫ (the domain of∫),

then∱(x₁) -∱ (x)/x₁-x represents:

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Instantaneous rate

Average rate of change

Differential coefficient

None of these

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-2x

x^-3

-2x³

If x² + y² = 1, then dy/dx

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y/x

-x/y

1/x

None of these

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If ∱(x) = x^2/3then∱¹(x) at x = 8 equals:

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8

1/8

1/3

2/3

If∱(x) = x^-100the value of∱¹(1) is:

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100

-100

0

-101

if y=x²then dy/dx equals:

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2x

x/2

2x³

x³/2

d/dx (cos x sin x) =

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cos² x - sin² x

2cos²x + sin² x

2cos² x - sin² x

1 - sin²x

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Mathematics ECAT Pre Engineering Chapter 18 Basic Concepts & Definitions Online Test MCQs With Answers

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