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ECAT Mathematics Chapter 18 Basic Concepts & Definitions Online Test MCQs With Answers
Question # 1
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Question # 2
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 # 3
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Question # 4
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 # 5
∱(x) = ax
2
-3x -5, and∱
1
(2) = 9, a is equal to
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2
3
-2
4
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Question # 6
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8
1/8
1/3
2/3
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Question # 7
Let∫ be real valued function continuous in the interval (x,x
1
)⊆ D∫ (the domain of∫),
then∱(x
1
) -∱ (x)/x
1
-x represents:
Choose an answer
Instantaneous rate
Average rate of change
Differential coefficient
None of these
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Question # 8
If ∱(x) = x
2/3
then∱
1
(x) at x = 8 equals:
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8
1/8
1/3
2/3
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Question # 9
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Question # 10
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Question # 11
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 # 12
if x∈ D∱ and∱
1
(x) exists, then
∱ is said to be
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zero at x
Differentiable at x
Continuous at x
None of these
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Question # 13
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Question # 14
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x
n-1
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Question # 15
If∱(x) = x
-100
the value of∱
1
(1) is:
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100
-100
0
-101
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Question # 16
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1
0
cx
c
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Question # 17
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 # 18
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x
2
+ 2
3x + 2
3x
2
+ 5
3x
2
+ 2
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Question # 19
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 # 20
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0
8
5
9
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Question # 21
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 # 22
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Question # 23
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 # 24
If c is a constant, then d/dx (c) =
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0
c
cx
1
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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
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Question # 27
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Question # 28
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-2x
x
-3
-2x
3
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Question # 29
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Question # 30
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 # 31
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