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Mathematics ECAT Pre Engineering Chapter 18 Basic Concepts & Definitions Online Test MCQs With Answers
Question # 1
d/dx(x
3
+ 2x +3)=
Choose an answer
x
2
+ 2
3x + 2
3x
2
+ 5
3x2 + 2
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Question # 2
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Question # 3
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Question # 4
d/dx (cos x sin x) =
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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 # 5
Choose an answer
mx
x/m
mx
m-1
xm
m-1
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Question # 6
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 # 7
If y = x
n
then dy/dx equals:
Choose an answer
nx
x
n-1
nx
n-1
n
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Question # 8
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Question # 9
Choose an answer
x
n-1
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Question # 10
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Question # 11
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Question # 12
Choose an answer
2x
x/2
2x
3
x
3
/2
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Question # 13
If∱(x) = c then∱
1 (x0 equals:
Choose an answer
1
0
cx
c
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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
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Question # 16
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 # 17
Choose an answer
100
-100
0
-101
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Question # 18
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1
0
cx
c
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Question # 19
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Question # 20
Choose an answer
-2x
x
-3
-2x
3
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Question # 21
If∱(x) = 2x
3
+ 1 then∱
1
(0) =
Choose an answer
0
1
6
None of these
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Question # 22
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Question # 23
If y = (7x + 9)
2
, then dy/dx equals:
Choose an answer
98x +126
14x
14x +18
14x+81
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Question # 24
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Question # 25
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 # 26
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Question # 27
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Question # 28
d/dx [tan
2
x]
Choose an answer
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 # 29
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 # 30
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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