MCQExams
0:0:1
CBSE
JEE
NTSE
NEET
Practice
Homework
×
JEE Questions for Maths Differentiation Quiz 1 - MCQExams.com
JEE
Maths
Differentiation
Quiz 1
If y = (1 +
x
) (1 +
x
2
) (1 +
x
4
), then dy/d
x
at
x
= 1 is
Report Question
0%
20
0%
28
0%
1
0%
0
Report Question
0%
100f '(0)
0%
100
0%
1
0%
–1
If y =
f
(
x
2
+and
f '
(= 5, then dy/d
x
at
x
= 1 is
Report Question
0%
5
0%
25
0%
15
0%
20
0%
10
Find the deviate of √2
x
+ 2√
x
– 1/√
x
.
Report Question
0%
0%
2)
0%
0%
The derivative of y = (1 –
x
) (2 –
x
) ...(n –
x
) at
x
= 1 is
Report Question
0%
0
0%
(–1)(n – 1)!
0%
n! – 1
0%
(–1)n–1 (n – 1)!
Report Question
0%
–1/2
0%
1/2
0%
1/4
0%
–1/4
Report Question
0%
1/2
0%
- (1/2)
0%
1
0%
Report Question
0%
1
0%
0
0%
–1
0%
–2
If
f
(
x
) = log
x
{ln(
x
)}, then
f '
(e) is equal to
Report Question
0%
1/e
0%
e
0%
–e
0%
e2
If e
x
+ e
y
= e
x
+ y
, then dy/d
x
at (2,is
Report Question
0%
1
0%
–1
0%
2
0%
None of these
If
f
(
x
) = log
e
(log
e
x
), then
f '
(e) is equal to
Report Question
0%
e-1
0%
e
0%
1
0%
0
Report Question
0%
(9x2 – 4x)log x
0%
(4x – 9xlog x
0%
(9x2 + 4x)log x
0%
(3x2 – 2x)log x
Report Question
0%
0%
2)
0%
0%
Report Question
0%
0
0%
1
0%
1/2
0%
–1/2
If y = sin
x
. sin 2
x
. sin 3
x
... sin n
x
, then y' is
Report Question
0%
0%
2)
0%
0%
If y = tan
-1
x
+ cot
-1
x
+ sec
-1
x
+ cosec
-1
x
, then dy/d
x
is equal to
Report Question
0%
0%
π
0%
0
0%
1
0%
If
f
(
x
) = |
x
– 2|+ |
x
+ 1|–
x
, then
f '
(–is equal to
Report Question
0%
–3
0%
–2
0%
–1
0%
0
0%
1
If
x
y
= e
2(
x
– y)
, then dy/d
x
is equal to
Report Question
0%
0%
2)
0%
0%
0%
If y = (1 +
x
) (1 +
x
2
) (1 +
x
4
)...(1 +
x
2n
), then the value of (dy/d
x
)
x
= 0
is
Report Question
0%
0
0%
–1
0%
1
0%
2
If y be an implicit function of
x
defined by
x
2
x
– 2
x
x
cot y – 1 = 0. Then, y'(is equal to
Report Question
0%
–1
0%
1
0%
log 2
0%
– log 2
If y =
x
-
x
2
, then the derivatives of y
2
with respect to
x
2
is
Report Question
0%
2x2 + 3x – 1
0%
2x2 – 3x + 1
0%
2x2 + 3x + 1
0%
2x2 – 3x – 1
Report Question
0%
1/e
0%
1/√e
0%
√e
0%
e2
Find dy/d
x
, if
x
= 2 cos θ – cos 2θ and y = 2 sin θ – sin 2θ.
Report Question
0%
tan 3θ/2
0%
– tan 3θ/2
0%
cot 3θ/2
0%
– cot 3θ/2
If
x
y = tan
–1
(
x
y) + cot
–1
(
x
y), then dy/d
x
is equal to
Report Question
0%
y/x
0%
– y/x
0%
x/y
0%
–x/y
The derivative of cos
3
x
with respect to sin
3
x
is
Report Question
0%
– cot x
0%
cot x
0%
tanx
0%
– tan x
If
f
(
x
) = log
x
2
(log
e
x
), then
f '
(
x
) at
x
= e is equal to
Report Question
0%
1
0%
1/e
0%
1/2e
0%
0
If y = sin
n
x
cos n
x
, then dy/d
x
is equal to
Report Question
0%
n sinn–1 x sin (n + 1)x
0%
n sinn-1 x cos (n – 1)x
0%
n sinn–1 x cos nx
0%
n sinn–1 x cos(n +x
Report Question
0%
1
0%
1/2
0%
3/2
0%
0
If y = log
2
log
2
(
x
), then dy/d
x
is equal to
Report Question
0%
0%
2)
0%
0%
0%
If y = sec
–1
[cosec
x
] + cosec
–1
[sec
x
] + sin
–1
[cos
x
] + cos
–1
[sin
x
] , then dy/d
x
is equal to
Report Question
0%
0
0%
2
0%
–2
0%
–4
0%
1
If y = e
x
. e
x
2
. e
x
3
. ...e
x
n
..., for o <
x
< 1, then dy/d
x
at
x
= 1/2 is
Report Question
0%
e
0%
4e
0%
2e
0%
3e
0%
5e
Report Question
0%
0%
2)
0%
0%
0%
Report Question
0%
– 1/2
0%
1/2
0%
1
0%
–1
If
f '
(
x
) = g(
x
) and g'(
x
) = –
f
(
x
) for all
x
and
f
(= 4 =
f '
(2), then
f
2
(+ g
2
(is equal to
Report Question
0%
8
0%
16
0%
32
0%
64
If y = cos
–1
(cos
x
), the dy/d
x
is
Report Question
0%
1 in the whole plane
0%
–1 in the whole plane
0%
1 in the 2nd and 3 rd quadrants of the plane
0%
–1 in the 3rd and 4th quadrants of the plane
Report Question
0%
0%
2)
0%
0%
Report Question
0%
0
0%
tan t
0%
1
0%
sin t cos t
If
x
y
= e
x
– y
,
x
> 0, then the value of dy/d
x
at (1,is
Report Question
0%
0
0%
1/2
0%
1
0%
2
The value of differentiation of e
x
2
with respect to e
2
x
–1
at
x
= 1 is
Report Question
0%
e
0%
0
0%
e–1
0%
1
Report Question
0%
0
0%
1
0%
π/4
0%
√π
Report Question
0%
0%
2)
0%
0%
The derivative of
f
(tan
x
) with respect to g (sec
x
) at
x
= π/4, where
f '
(= 2 and g'(√= 4, is
Report Question
0%
1/√2
0%
√2
0%
1
0%
None of these
If y =
x
n
log
x
+
x
(log
x
)
n
, then dy/d
x
is equal to
Report Question
0%
xn –1 (1 + n log x) + (log x)n – 1 (n + log x)
0%
xn – 2(1 + n logx) + (log x)n – 1(n + log x)
0%
xn – 1(1 + n log x) + (log x)n – 1 (n – log x)
0%
None of these
Report Question
0%
1
0%
–1
0%
2
0%
0
If y = log
a
x
+ log
x
a + log
x
x
+ log
a
a, then dy/d
x
is equal to
Report Question
0%
0%
2)
0%
0%
0%
None of these
Report Question
0%
0%
2)
0%
0%
0%
If
f
(
x
+ y) = 2
f
(
x
)
f
(y),
f '
(= 1024(log
f
(= 8, then the value of
f '
(is
Report Question
0%
64 (log 2)
0%
128(log 2)
0%
256
0%
256(log 2)
0%
1024(log 2)
The value of dy/d
x
at
x
= π/2, where y is given by y =
x
sin
x
+ √
x
, is
Report Question
0%
0%
1
0%
0%
Report Question
0%
cot θ
0%
tan θ
0%
sin θ
0%
cos θ
Report Question
0%
0%
2)
0%
0%
0:0:1
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
0
Answered
0
Not Answered
0
Not Visited
Correct : 0
Incorrect : 0
Report Question
×
What's an issue?
Question is wrong
Answer is wrong
Other Reason
Want to elaborate a bit more? (optional)
Practice Maths Quiz Questions and Answers
<
>
Support mcqexams.com by disabling your adblocker.
×
Please disable the adBlock and continue.
Thank you.
Reload page
