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Mathematics ECAT Pre Engineering Chapter 18 Basic Concepts & Definitions Online Test MCQs With Answers
Question # 1
Choose an answer
0
8
5
9
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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
If c is a constant, then d/dx (c) =
Choose an answer
0
c
cx
1
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Question # 4
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 # 5
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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Question # 6
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Question # 7
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Question # 8
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Question # 9
If y = x
n
then dy/dx equals:
Choose an answer
nx
x
n-1
nx
n-1
n
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Question # 10
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 # 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
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 # 14
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 # 15
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 # 16
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Question # 17
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 # 18
If∱(x) = 2x
3
+ 1 then∱
1
(0) =
Choose an answer
0
1
6
None of these
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Question # 19
If∱(x) = c then∱
1 (x0 equals:
Choose an answer
1
0
cx
c
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Question # 20
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 # 21
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Question # 22
Choose an answer
x
n-1
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Question # 23
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 # 24
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 # 25
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Question # 26
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Question # 27
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Question # 28
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 # 29
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Question # 30
∱(x) = ax
2
-3x -5, and∱
1
(2) = 9, a is equal to
Choose an answer
2
3
-2
4
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