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Online Tests
ECAT Mathematics Chapter 18 Basic Concepts & Definitions Online Test MCQs With Answers
Question # 1
d/dx (cosec x)
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-sec x tan x
sin x cos x
-csc x cot x
2sin x cos x
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Question # 2
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x
n-1
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Question # 3
d/dx (cos x
2
) =
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-2x cos x
-2x sin x
2
-2x tan x
-2x sec
2
x
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Question # 4
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Question # 5
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Question # 6
If y = 1/x
2
then dy/dx equals:
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-2x
x
-3
-2/x
3
-2x
3
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Question # 7
If x = at
2
and y = 2at then dy/dx =
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2a/y
y/2a
-a/2y
-2y/a
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Question # 8
Choose an answer
2x
x/2
2x
3
x
3
/2
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Question # 9
If x
2
+ y
2
= 1, then dy/dx
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y/x
-x/y
1/x
None of these
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Question # 10
Choose an answer
100
-100
0
-101
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Question # 11
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 # 12
If c is a constant, then d/dx (c) =
Choose an answer
0
c
cx
1
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Question # 13
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 # 14
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Question # 15
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Question # 16
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Question # 17
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 # 18
If y = (7x + 9)
2
, then dy/dx equals:
Choose an answer
98x +126
14x
14x +18
14x+81
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Question # 19
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Question # 20
If y = 3 x + 2cos x, then dy/dx =
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3-2 sin x
3-t sin x
3x
2
- 2sin x
3(1-4 sin x)
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Question # 21
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Question # 22
d/dx(x
3
+ 2x +3)=
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x
2
+ 2
3x + 2
3x
2
+ 5
3x2 + 2
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Question # 23
d/dx [tan
2
x]
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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 # 24
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Question # 25
The derivative of 1/x
m
is:
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x
m+1
/ m
m(x)
m-1
(m-1) x
-m
m/x
m+1
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Question # 26
∱(x) = ax
2
-3x -5, and∱
1
(2) = 9, a is equal to
Choose an answer
2
3
-2
4
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Question # 27
If f(x) = c then∱
1
(x) equals:
Choose an answer
1
0
cx
c
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Question # 28
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 # 29
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Question # 30
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