Question # 1

If∱(x) = c then∱^{1 (x0 equals:}

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1

0

cx

c

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zero at x

differentiable at x

continuous at x

none of these

Differentiation of sin x w.r.t. cot x is:

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-sin² x sec x

-cos x sin² x

-cos² x tan x

-sin² x

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

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2

3

-2

4

If f(x) = c then∱¹(x) equals:

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1

0

cx

c

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

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

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-1/2

-4/3

7/2

-3/4

If y = 1/x²then dy/dx equals:

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-2x

x^-3

-2/x³

-2x³

d/dx(x³ + 2x +3)=

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x²+ 2

3x + 2

3x²+ 5

3x2 + 2

d/dx (cosec x)

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-sec x tan x

sin x cos x

-csc x cot x

2sin x cos x

d / dx (cot x) =

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Sec x tan x

-csc² x

Sec² x

1/cot² x

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-2x

x^-3

-2x³

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x^n-1

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if y=x²then dy/dx equals:

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2x

x/2

2x³

x³/2

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0

8

5

9

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

If x² + y² = 1, then dy/dx

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y/x

-x/y

1/x

None of these

d/dx (cos x²) =

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-2x cos x

-2x sin x²

-2x tan x

-2x sec² x

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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None of these

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8

1/8

1/3

2/3

If∱(x) = 2x³ + 1 then∱¹(0) =

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0

1

6

None of these

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

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0

8

5

9

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

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