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ECAT Mathematics Chapter 18 Basic Concepts & Definitions Online Test MCQs With Answers
Question # 1
d/dx (cos x
2
) =
Choose an answer
-2x cos x
-2x sin x
2
-2x tan x
-2x sec
2
x
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Question # 2
If 3x + 4y +7 = 0 , then dy / dx =
Choose an answer
-1/2
-4/3
7/2
-3/4
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Question # 3
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Question # 4
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Question # 5
Choose an answer
-2x
x
-3
-2x
3
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Question # 6
Choose an answer
2x
x/2
2x
3
x
3
/2
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Question # 7
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Question # 8
Choose an answer
1
0
cx
c
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Question # 9
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 # 10
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 # 11
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Question # 12
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Question # 13
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 # 14
If f(x) = c then∱
1
(x) equals:
Choose an answer
1
0
cx
c
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Question # 15
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Question # 16
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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
d / dx (cot x) =
Choose an answer
Sec x tan x
-csc
2
x
Sec
2
x
1/cot
2
x
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Question # 19
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 # 20
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 # 21
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Question # 22
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 # 23
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Question # 24
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 # 25
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Question # 26
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 # 27
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Question # 28
If∱(x) = x
-100
the value of∱
1
(1) is:
Choose an answer
100
-100
0
-101
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Question # 29
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 # 30
d/dx(x
3
+ 2x +3)=
Choose an answer
x
2
+ 2
3x + 2
3x
2
+ 5
3x2 + 2
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Question # 31
Choose an answer
x
n-1
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