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ECAT Pre General Science Mathematics Chapter 18 Basic Concepts & Definitions Online Test MCQs With Answers
Question # 1
If y = (7x + 9)
2
, then dy/dx equals:
Choose an answer
98x +126
14x
14x +18
14x+81
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Question # 2
if x∈ D∱ and∱
1
(x) exists, then
∱ is said to be
Choose an answer
zero at x
Differentiable at x
Continuous at x
None of these
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Question # 3
If∱(x) = c then∱
1 (x0 equals:
Choose an answer
1
0
cx
c
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Question # 4
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Question # 5
Choose an answer
1
0
cx
c
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Question # 6
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Question # 7
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 # 8
If y=x
m
then dy/dx equals:
Choose an answer
mx
x/m
mx
m-1
xm
m-1
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Question # 9
If f(x) = c then∱
1
(x) equals:
Choose an answer
1
0
cx
c
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Question # 10
Choose an answer
-2x
x
-3
-2x
3
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Question # 11
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 # 12
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 # 13
Choose an answer
x
2
+ 2
3x + 2
3x
2
+ 5
3x
2
+ 2
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Question # 14
If∱(x) = x
5
+ x
3
+ x the value of∱
1
(1) is:
Choose an answer
0
8
5
9
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Question # 15
Choose an answer
zero at x
differentiable at x
continuous at x
none of these
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Question # 16
Choose an answer
None of these
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Question # 17
If 3x + 4y +7 = 0 , then dy / dx =
Choose an answer
-1/2
-4/3
7/2
-3/4
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Question # 18
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Question # 19
Choose an answer
100
-100
0
-101
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Question # 20
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Question # 21
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Question # 22
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Question # 23
If y = 1/x
2
then dy/dx equals:
Choose an answer
-2x
x
-3
-2/x
3
-2x
3
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Question # 24
If∱(x) = x
-100
the value of∱
1
(1) is:
Choose an answer
100
-100
0
-101
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Question # 25
Differentiation of sin x w.r.t. cot x is:
Choose an answer
-sin
2
x sec x
-cos x sin
2
x
-cos
2
x tan x
-sin
2
x
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Question # 26
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Question # 27
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Question # 28
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Question # 29
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Question # 30
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 # 31
Choose an answer
0
8
5
9
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