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ECAT Mathematics Chapter 18 Basic Concepts & Definitions Online Test MCQs With Answers
Question # 1
Choose an answer
None of these
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Question # 2
If y = x
n
then dy/dx equals:
Choose an answer
nx
x
n-1
nx
n-1
n
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Question # 3
If∱(x) = 2x
3
+ 1 then∱
1
(0) =
Choose an answer
0
1
6
None of these
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Question # 4
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 # 5
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 # 6
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Question # 7
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Question # 8
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 # 9
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 # 10
If∱(x) = 1/x-2 then∱
1
(0) equals:
Choose an answer
-1/4
-3/2
-1/2
1/5
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Question # 11
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 # 12
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Question # 13
Choose an answer
zero at x
differentiable at x
continuous at x
none of these
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Question # 14
If 3x + 4y +7 = 0 , then dy / dx =
Choose an answer
-1/2
-4/3
7/2
-3/4
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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
Choose an answer
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Question # 19
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 # 20
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 # 21
Choose an answer
mx
x/m
mx
m-1
xm
m-1
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Question # 22
If c is a constant, then d/dx (c) =
Choose an answer
0
c
cx
1
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Question # 23
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 # 24
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Question # 25
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 # 26
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Question # 27
Choose an answer
2x
x/2
2x
3
x
3
/2
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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
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
If∱(x) = c then∱
1 (x0 equals:
Choose an answer
1
0
cx
c
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