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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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mx
x/m
mx
m-1
xm
m-1
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Question # 3
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 # 4
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x
n-1
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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=x
2
then dy/dx equals:
Choose an answer
2x
x/2
2x
3
x
3
/2
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Question # 7
d/dx (cosec x)
Choose an answer
-sec x tan x
sin x cos x
-csc x cot x
2sin x cos x
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Question # 8
If f(x) = c then∱
1
(x) equals:
Choose an answer
1
0
cx
c
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Question # 9
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Question # 10
If∱(x) = 2x
3
+ 1 then∱
1
(0) =
Choose an answer
0
1
6
None of these
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Question # 11
If ∱(x) = x
2/3
then∱
1
(x) at x = 8 equals:
Choose an answer
8
1/8
1/3
2/3
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Question # 12
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Question # 13
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Question # 14
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1
0
cx
c
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Question # 15
If y = (7x + 9)
2
, then dy/dx equals:
Choose an answer
98x +126
14x
14x +18
14x+81
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Question # 16
If∱(x) = 1/x-2 then∱
1
(0) equals:
Choose an answer
-1/4
-3/2
-1/2
1/5
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Question # 17
If x = at
2
and y = 2at then dy/dx =
Choose an answer
2a/y
y/2a
-a/2y
-2y/a
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Question # 18
If x =1 -t
2
and y =3t
2
- 2t
3
then dy/dx =
Choose an answer
(1-t)
3(1+t)
3(t-1)
3/1-t
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Question # 19
d/dx (cos x sin x) =
Choose an answer
cos
2
x - sin
2
x
2cos
2
x + sin
2
x
2cos
2
x - sin
2
x
1 - sin
2
x
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Question # 20
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x
2
+ 2
3x + 2
3x
2
+ 5
3x
2
+ 2
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Question # 21
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-2x
x
-3
-2x
3
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Question # 22
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Question # 23
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Question # 24
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Question # 25
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None of these
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Question # 26
If∱(x) = x
-100
the value of∱
1
(1) is:
Choose an answer
100
-100
0
-101
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Question # 27
The derivative of√x at x =a is:
Choose an answer
1/2a
2 / √a
2√x
1 / 2√x
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Question # 28
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Question # 29
The derivative of 1/x
m
is:
Choose an answer
x
m+1
/ m
m(x)
m-1
(m-1) x
-m
m/x
m+1
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Question # 30
If y = 3 x + 2cos x, then dy/dx =
Choose an answer
3-2 sin x
3-t sin x
3x
2
- 2sin x
3(1-4 sin x)
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