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