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ECAT 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
d/dx (cosec x)
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-sec x tan x
sin x cos x
-csc x cot x
2sin x cos x
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Question # 4
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Question # 5
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None of these
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Question # 6
If∱(x) = 2x
3
+ 1 then∱
1
(0) =
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0
1
6
None of these
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Question # 7
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Question # 8
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Question # 9
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Question # 10
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Question # 11
If f(x) = c then∱
1
(x) equals:
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1
0
cx
c
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Question # 12
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 # 13
If y = 1/x
2
then dy/dx equals:
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-2x
x
-3
-2/x
3
-2x
3
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Question # 14
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 # 15
If y=x
m
then dy/dx equals:
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mx
x/m
mx
m-1
xm
m-1
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Question # 16
If x
2
+ y
2
= 1, then dy/dx
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y/x
-x/y
1/x
None of these
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Question # 17
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Question # 18
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 # 19
If c is a constant, then d/dx (c) =
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0
c
cx
1
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Question # 20
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mx
x/m
mx
m-1
xm
m-1
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Question # 21
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8
1/8
1/3
2/3
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Question # 22
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1
0
cx
c
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Question # 23
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x
2
+ 2
3x + 2
3x
2
+ 5
3x
2
+ 2
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Question # 24
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Question # 25
If y = 3 x + 2cos x, then dy/dx =
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3-2 sin x
3-t sin x
3x
2
- 2sin x
3(1-4 sin x)
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Question # 26
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2x
x/2
2x
3
x
3
/2
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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
If y = x
n
then dy/dx equals:
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nx
x
n-1
nx
n-1
n
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Question # 29
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Question # 30
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Question # 31
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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