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Mathematics ECAT Pre Engineering Chapter 18 Basic Concepts & Definitions Online Test MCQs With Answers
Question # 1
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Question # 2
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2x
x/2
2x
3
x
3
/2
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Question # 3
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8
1/8
1/3
2/3
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Question # 4
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Question # 5
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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Question # 6
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 # 7
The derivative of√x at x =a is:
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1/2a
2 / √a
2√x
1 / 2√x
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Question # 8
∱(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 # 9
d/dx(x
3
+ 2x +3)=
Choose an answer
x
2
+ 2
3x + 2
3x
2
+ 5
3x2 + 2
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Question # 10
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Question # 11
If c is a constant, then d/dx (c) =
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0
c
cx
1
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Question # 12
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Question # 13
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Question # 14
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Question # 15
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x
n-1
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Question # 16
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 # 17
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 # 18
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 # 19
if y=x
2
then dy/dx equals:
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2x
x/2
2x
3
x
3
/2
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Question # 20
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1
0
cx
c
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Question # 21
d / dx (cot x) =
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Sec x tan x
-csc
2
x
Sec
2
x
1/cot
2
x
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Question # 22
If y=x
m
then dy/dx equals:
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mx
x/m
mx
m-1
xm
m-1
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Question # 23
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mx
x/m
mx
m-1
xm
m-1
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Question # 24
If∱(x) = 1/x-2 then∱
1
(0) equals:
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-1/4
-3/2
-1/2
1/5
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Question # 25
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 # 26
If∱(x) = x
-100
the value of∱
1
(1) is:
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100
-100
0
-101
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Question # 27
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Question # 28
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Question # 29
If 3x + 4y +7 = 0 , then dy / dx =
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-1/2
-4/3
7/2
-3/4
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Question # 30
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Question # 31
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100
-100
0
-101
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