More Classes
5th Class
6th Class
7th Class
8th Class
9th Class
10th Class
11th Class
12th Class
NAT I
NAT II
CSS
IQ
General Knowledge
MDCAT
ECAT
GAT General
GAT Subject
Other Links
Go to Home
Online Tests
ECAT Pre General Science Mathematics Chapter 18 Basic Concepts & Definitions Online Test MCQs With Answers
Question # 1
d / dx (cot x) =
Choose an answer
Sec x tan x
-csc
2
x
Sec
2
x
1/cot
2
x
Previous
Skip
Next
Question # 2
If∱(x) = 2x
3
+ 1 then∱
1
(0) =
Choose an answer
0
1
6
None of these
Previous
Skip
Next
Question # 3
The derivative of√x at x =a is:
Choose an answer
1/2a
2 / √a
2√x
1 / 2√x
Previous
Skip
Next
Question # 4
Differentiation of sin x w.r.t. cot x is:
Choose an answer
-sin
2
x sec x
-cos x sin
2
x
-cos
2
x tan x
-sin
2
x
Previous
Skip
Next
Question # 5
If y = (7x + 9)
2
, then dy/dx equals:
Choose an answer
98x +126
14x
14x +18
14x+81
Previous
Skip
Next
Question # 6
If x
2
+ y
2
= 1, then dy/dx
Choose an answer
y/x
-x/y
1/x
None of these
Previous
Skip
Next
Question # 7
Choose an answer
x
2
+ 2
3x + 2
3x
2
+ 5
3x
2
+ 2
Previous
Skip
Next
Question # 8
If c is a constant, then d/dx (c) =
Choose an answer
0
c
cx
1
Previous
Skip
Next
Question # 9
Choose an answer
Previous
Skip
Next
Question # 10
Choose an answer
Previous
Skip
Next
Question # 11
Choose an answer
Previous
Skip
Next
Question # 12
Choose an answer
Previous
Skip
Next
Question # 13
Choose an answer
-2x
x
-3
-2x
3
Previous
Skip
Next
Question # 14
If ∱(x) = x
2/3
then∱
1
(x) at x = 8 equals:
Choose an answer
8
1/8
1/3
2/3
Previous
Skip
Next
Question # 15
Choose an answer
Previous
Skip
Next
Question # 16
d/dx [tan
2
x]
Choose an answer
2tan x sec
2
x
2tan x sec x
2 cot x tan x
2sec
2
x cos
2
x
Previous
Skip
Next
Question # 17
If∱(x) = x
5
+ x
3
+ x the value of∱
1
(1) is:
Choose an answer
0
8
5
9
Previous
Skip
Next
Question # 18
if y=x
2
then dy/dx equals:
Choose an answer
2x
x/2
2x
3
x
3
/2
Previous
Skip
Next
Question # 19
Choose an answer
Previous
Skip
Next
Question # 20
Choose an answer
1
0
cx
c
Previous
Skip
Next
Question # 21
d/dx (cos x
2
) =
Choose an answer
-2x cos x
-2x sin x
2
-2x tan x
-2x sec
2
x
Previous
Skip
Next
Question # 22
If x = at
2
and y = 2at then dy/dx =
Choose an answer
2a/y
y/2a
-a/2y
-2y/a
Previous
Skip
Next
Question # 23
Choose an answer
0
8
5
9
Previous
Skip
Next
Question # 24
Choose an answer
Previous
Skip
Next
Question # 25
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
Previous
Skip
Next
Question # 26
Choose an answer
Previous
Skip
Next
Question # 27
Choose an answer
100
-100
0
-101
Previous
Skip
Next
Question # 28
Choose an answer
Previous
Skip
Next
Question # 29
Choose an answer
Previous
Skip
Next
Question # 30
If y=x
m
then dy/dx equals:
Choose an answer
mx
x/m
mx
m-1
xm
m-1
Previous
Skip
Next
Question # 31
If y = 1/x
2
then dy/dx equals:
Choose an answer
-2x
x
-3
-2/x
3
-2x
3
Previous
Skip
Next
Back
