PYQ Vault
Bank
Guides
Notes
Mocks
Board
NDA
Sign in
Filtered questions
2,251 questions match
Filters
2
Download
· 2251
Filtering by:
Exam: Maharashtra HSC Class 12
Clear all
Copy link
Set · 2 questions
Differentiate the following w. r. t. x.
Q626
#626
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Moderate
Add
cos
3
[
cos
−
1
(
x
3
)
]
\cos^3\left[\cos^{-1}(x^3)\right]
cos
3
[
cos
−
1
(
x
3
)
]
Show model answer
[QEx 1.2 Q.6 (ix) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Q627
#627
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Moderate
Add
sin
4
[
sin
−
1
(
x
)
]
\sin^4\left[\sin^{-1}(\sqrt{x})\right]
sin
4
[
sin
−
1
(
x
)
]
Show model answer
[QEx 1.2 Q.6 (x) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Set · 12 questions
Differentiate the following w. r. t. x.
Q628
#628
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Moderate
Add
cot
−
1
[
cot
(
e
x
2
)
]
\cot^{-1}\left[\cot\left(e^{x^2}\right)\right]
cot
−
1
[
cot
(
e
x
2
)
]
Show model answer
[QEx 1.2 Q.7 (i) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Q629
#629
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Moderate
Add
cosec
−
1
(
1
cos
(
5
x
)
)
\operatorname{cosec}^{-1}\left(\frac{1}{\cos(5^x)}\right)
cosec
−
1
(
c
o
s
(
5
x
)
1
)
Show model answer
[QEx 1.2 Q.7 (ii) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Q630
#630
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Moderate
Add
cos
−
1
(
1
+
cos
x
2
)
\cos^{-1}\left(\sqrt{\frac{1+\cos x}{2}}\right)
cos
−
1
(
2
1
+
c
o
s
x
)
Show model answer
[QEx 1.2 Q.7 (iii) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Q631
#631
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Moderate
Add
cos
−
1
(
1
−
cos
(
x
2
)
2
)
\cos^{-1}\left(\sqrt{\frac{1-\cos(x^2)}{2}}\right)
cos
−
1
(
2
1
−
c
o
s
(
x
2
)
)
Show model answer
[QEx 1.2 Q.7 (iv) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Q632
#632
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Hard
Add
tan
−
1
(
1
−
tan
(
x
2
)
1
+
tan
(
x
2
)
)
\tan^{-1}\left(\frac{1-\tan\left(\frac{x}{2}\right)}{1+\tan\left(\frac{x}{2}\right)}\right)
tan
−
1
(
1
+
t
a
n
(
2
x
)
1
−
t
a
n
(
2
x
)
)
Show model answer
[QEx 1.2 Q.7 (v) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Q633
#633
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Hard
Add
cosec
−
1
(
1
4
cos
3
2
x
−
3
cos
2
x
)
\operatorname{cosec}^{-1}\left(\frac{1}{4\cos^3 2x-3\cos 2x}\right)
cosec
−
1
(
4
c
o
s
3
2
x
−
3
c
o
s
2
x
1
)
Show model answer
[QEx 1.2 Q.7 (vi) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Q634
#634
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Hard
Add
tan
−
1
(
1
+
cos
(
x
3
)
sin
(
x
3
)
)
\tan^{-1}\left(\frac{1+\cos\left(\frac{x}{3}\right)}{\sin\left(\frac{x}{3}\right)}\right)
tan
−
1
(
s
i
n
(
3
x
)
1
+
c
o
s
(
3
x
)
)
Show model answer
[QEx 1.2 Q.7 (vii) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Q635
#635
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Hard
Add
cot
−
1
(
sin
3
x
1
+
cos
3
x
)
\cot^{-1}\left(\frac{\sin 3x}{1+\cos 3x}\right)
cot
−
1
(
1
+
c
o
s
3
x
s
i
n
3
x
)
Show model answer
[QEx 1.2 Q.7 (viii) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Q636
#636
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Hard
Add
tan
−
1
(
cos
7
x
1
+
sin
7
x
)
\tan^{-1}\left(\frac{\cos 7x}{1+\sin 7x}\right)
tan
−
1
(
1
+
s
i
n
7
x
c
o
s
7
x
)
Show model answer
[QEx 1.2 Q.7 (ix) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Q637
#637
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Hard
Add
tan
−
1
(
1
+
cos
x
1
−
cos
x
)
\tan^{-1}\left(\sqrt{\frac{1+\cos x}{1-\cos x}}\right)
tan
−
1
(
1
−
c
o
s
x
1
+
c
o
s
x
)
Show model answer
[QEx 1.2 Q.7 (x) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Q638
#638
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Hard
Add
tan
−
1
(
cosec
x
+
cot
x
)
\tan^{-1}(\operatorname{cosec} x+\cot x)
tan
−
1
(
cosec
x
+
cot
x
)
Show model answer
[QEx 1.2 Q.7 (xi) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Q639
#639
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Hard
Add
cot
−
1
(
1
+
sin
(
4
x
3
)
+
1
−
sin
(
4
x
3
)
1
+
sin
(
4
x
3
)
−
1
−
sin
(
4
x
3
)
)
\cot^{-1}\left(\frac{\sqrt{1+\sin\left(\frac{4x}{3}\right)}+\sqrt{1-\sin\left(\frac{4x}{3}\right)}}{\sqrt{1+\sin\left(\frac{4x}{3}\right)}-\sqrt{1-\sin\left(\frac{4x}{3}\right)}}\right)
cot
−
1
(
1
+
s
i
n
(
3
4
x
)
−
1
−
s
i
n
(
3
4
x
)
1
+
s
i
n
(
3
4
x
)
+
1
−
s
i
n
(
3
4
x
)
)
Show model answer
[QEx 1.2 Q.7 (xii) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Set · 6 questions
Differentiate the following w. r. t. x.
Q640
#640
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Hard
Add
sin
−
1
(
4
sin
x
+
5
cos
x
41
)
\sin^{-1}\left(\frac{4\sin x+5\cos x}{\sqrt{41}}\right)
sin
−
1
(
41
4
s
i
n
x
+
5
c
o
s
x
)
Show model answer
[QEx 1.2 Q.8 (i) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Q641
#641
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Hard
Add
cos
−
1
(
3
cos
x
−
sin
x
2
)
\cos^{-1}\left(\frac{\sqrt{3}\cos x-\sin x}{2}\right)
cos
−
1
(
2
3
c
o
s
x
−
s
i
n
x
)
Show model answer
[QEx 1.2 Q.8 (ii) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Q642
#642
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Hard
Add
sin
−
1
(
cos
x
+
sin
x
2
)
\sin^{-1}\left(\frac{\cos\sqrt{x}+\sin\sqrt{x}}{\sqrt{2}}\right)
sin
−
1
(
2
c
o
s
x
+
s
i
n
x
)
Show model answer
[QEx 1.2 Q.8 (iii) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Q643
#643
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Hard
Add
cos
−
1
(
3
cos
3
x
−
4
sin
3
x
5
)
\cos^{-1}\left(\frac{3\cos 3x-4\sin 3x}{5}\right)
cos
−
1
(
5
3
c
o
s
3
x
−
4
s
i
n
3
x
)
Show model answer
[QEx 1.2 Q.8 (iv) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Q644
#644
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Hard
Add
cos
−
1
(
3
cos
(
e
x
)
+
2
sin
(
e
x
)
13
)
\cos^{-1}\left(\frac{3\cos(e^x)+2\sin(e^x)}{\sqrt{13}}\right)
cos
−
1
(
13
3
c
o
s
(
e
x
)
+
2
s
i
n
(
e
x
)
)
Show model answer
[QEx 1.2 Q.8 (v) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Q645
#645
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Hard
Add
cosec
−
1
(
10
6
sin
(
2
x
)
−
8
cos
(
2
x
)
)
\operatorname{cosec}^{-1}\left(\frac{10}{6\sin(2^x)-8\cos(2^x)}\right)
cosec
−
1
(
6
s
i
n
(
2
x
)
−
8
c
o
s
(
2
x
)
10
)
Show model answer
[QEx 1.2 Q.8 (vi) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Set · 5 questions
Differentiate the following w. r. t. x.
Q646
#646
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Hard
Add
cos
−
1
(
1
−
x
2
1
+
x
2
)
\cos^{-1}\left(\frac{1-x^2}{1+x^2}\right)
cos
−
1
(
1
+
x
2
1
−
x
2
)
Show model answer
[QEx 1.2 Q.9 (i) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Q647
#647
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Hard
Add
tan
−
1
(
2
x
1
−
x
2
)
\tan^{-1}\left(\frac{2x}{1-x^2}\right)
tan
−
1
(
1
−
x
2
2
x
)
Show model answer
[QEx 1.2 Q.9 (ii) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Q648
#648
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Hard
Add
sin
−
1
(
1
−
x
2
1
+
x
2
)
\sin^{-1}\left(\frac{1-x^2}{1+x^2}\right)
sin
−
1
(
1
+
x
2
1
−
x
2
)
Show model answer
[QEx 1.2 Q.9 (iii) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Q649
#649
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Hard
Add
sin
−
1
(
2
x
1
−
x
2
)
\sin^{-1}\left(2x\sqrt{1-x^2}\right)
sin
−
1
(
2
x
1
−
x
2
)
Show model answer
[QEx 1.2 Q.9 (iv) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Q650
#650
Mathematics → Differentiation → Derivatives of Inverse Trigonometric Functions
·
Hard
Add
cos
−
1
(
3
x
−
4
x
3
)
\cos^{-1}(3x-4x^3)
cos
−
1
(
3
x
−
4
x
3
)
Show model answer
[QEx 1.2 Q.9 (v) · Maharashtra State Board (Class 12) — Differentiation (Balbharati textbook)]
Report
Prev
Page 26 of 91
Next
1
…
25
26
27
…
91
PYQ Vault
Bank
Guides
Notes
Mocks
Board
NDA
Sign in