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ECAT Pre General Science Mathematics Chapter 18 Basic Concepts & Definitions Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
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Question # 4
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2x
x/2
2x
3
x
3
/2
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Question # 5
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8
1/8
1/3
2/3
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Question # 6
If y = (7x + 9)
2
, then dy/dx equals:
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98x +126
14x
14x +18
14x+81
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Question # 7
d/dx [tan
2
x]
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2tan x sec
2
x
2tan x sec x
2 cot x tan x
2sec
2
x cos
2
x
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Question # 8
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x
2
+ 2
3x + 2
3x
2
+ 5
3x
2
+ 2
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Question # 9
If x = at
2
and y = 2at then dy/dx =
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2a/y
y/2a
-a/2y
-2y/a
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Question # 10
Let∫ be real valued function continuous in the interval (x,x
1
)⊆ D∫ (the domain of∫),
then∱(x
1
) -∱ (x)/x
1
-x represents:
Choose an answer
Instantaneous rate
Average rate of change
Differential coefficient
None of these
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Question # 11
∱(x) = ax
2
-3x -5, and∱
1
(2) = 9, a is equal to
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2
3
-2
4
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Question # 12
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Question # 13
If∱(x) = 1/x-2 then∱
1
(0) equals:
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-1/4
-3/2
-1/2
1/5
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Question # 14
If 3x + 4y +7 = 0 , then dy / dx =
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-1/2
-4/3
7/2
-3/4
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Question # 15
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Question # 16
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Question # 17
d/dx(x
3
+ 2x +3)=
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x
2
+ 2
3x + 2
3x
2
+ 5
3x2 + 2
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Question # 18
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zero at x
differentiable at x
continuous at x
none of these
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Question # 19
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Question # 20
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Question # 21
Differentiation of sin x w.r.t. cot x is:
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-sin
2
x sec x
-cos x sin
2
x
-cos
2
x tan x
-sin
2
x
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Question # 22
d / dx (cot x) =
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Sec x tan x
-csc
2
x
Sec
2
x
1/cot
2
x
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Question # 23
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Question # 24
If ∱(x) = x
2/3
then∱
1
(x) at x = 8 equals:
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8
1/8
1/3
2/3
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Question # 25
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Question # 26
if x∈ D∱ and∱
1
(x) exists, then
∱ is said to be
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zero at x
Differentiable at x
Continuous at x
None of these
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Question # 27
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Question # 28
If∱(x) = c then∱
1 (x0 equals:
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1
0
cx
c
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Question # 29
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Question # 30
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0
8
5
9
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