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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
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 # 3
If x =1 -t
2
and y =3t
2
- 2t
3
then dy/dx =
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(1-t)
3(1+t)
3(t-1)
3/1-t
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Question # 4
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None of these
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Question # 5
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Question # 6
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-2x
x
-3
-2x
3
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Question # 7
If x
2
+ y
2
= 1, then dy/dx
Choose an answer
y/x
-x/y
1/x
None of these
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Question # 8
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mx
x/m
mx
m-1
xm
m-1
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Question # 9
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 # 10
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 # 11
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100
-100
0
-101
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Question # 12
The derivative of 1/x
m
is:
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x
m+1
/ m
m(x)
m-1
(m-1) x
-m
m/x
m+1
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Question # 13
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Question # 14
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8
1/8
1/3
2/3
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Question # 15
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 # 16
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 # 17
If y = (7x + 9)
2
, then dy/dx equals:
Choose an answer
98x +126
14x
14x +18
14x+81
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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 3x + 4y +7 = 0 , then dy / dx =
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-1/2
-4/3
7/2
-3/4
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Question # 20
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Question # 21
∱(x) = ax
2
-3x -5, and∱
1
(2) = 9, a is equal to
Choose an answer
2
3
-2
4
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Question # 22
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Question # 23
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 # 24
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Question # 25
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 # 26
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1
0
cx
c
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Question # 27
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Question # 28
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Question # 29
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Question # 30
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2x
x/2
2x
3
x
3
/2
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