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Mathematics ECAT Pre Engineering Chapter 18 Basic Concepts & Definitions Online Test MCQs With Answers
Question # 1
Choose an answer
x
2
+ 2
3x + 2
3x
2
+ 5
3x
2
+ 2
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Question # 2
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 # 3
Choose an answer
mx
x/m
mx
m-1
xm
m-1
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Question # 4
Choose an answer
2x
x/2
2x
3
x
3
/2
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Question # 5
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Question # 6
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Question # 7
Choose an answer
100
-100
0
-101
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Question # 8
If f(x) = c then∱
1
(x) equals:
Choose an answer
1
0
cx
c
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Question # 9
If∱(x) = 2x
3
+ 1 then∱
1
(0) =
Choose an answer
0
1
6
None of these
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Question # 10
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Question # 11
Choose an answer
1
0
cx
c
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Question # 12
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Question # 13
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 # 14
Choose an answer
None of these
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Question # 15
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 # 16
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 # 17
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Question # 18
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 # 19
If 3x + 4y +7 = 0 , then dy / dx =
Choose an answer
-1/2
-4/3
7/2
-3/4
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Question # 20
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 # 21
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Question # 22
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 # 23
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 # 24
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Question # 25
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 # 26
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Question # 27
If∱(x) = x
-100
the value of∱
1
(1) is:
Choose an answer
100
-100
0
-101
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Question # 28
If∱(x) = c then∱
1 (x0 equals:
Choose an answer
1
0
cx
c
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Question # 29
if y=x
2
then dy/dx equals:
Choose an answer
2x
x/2
2x
3
x
3
/2
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Question # 30
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 # 31
Choose an answer
-2x
x
-3
-2x
3
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