1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Average Rate of Change
If y=tan -1...
Question
If
y
=
tan
−
1
(
a
x
−
b
)
(
b
x
+
a
)
then find
d
y
d
x
.
Open in App
Solution
y
=
tan
−
1
(
a
x
−
b
b
x
+
a
)
differentiating the above,
d
y
d
x
=
1
1
+
(
a
x
−
b
b
x
+
a
)
2
.
(
b
x
+
a
)
a
−
(
a
x
−
b
)
b
(
b
x
+
a
)
2
d
y
d
x
=
(
b
x
+
a
)
2
(
b
x
+
a
)
2
+
(
a
x
−
b
)
2
×
a
2
+
b
2
(
b
x
+
a
)
2
Suggest Corrections
0
Similar questions
Q.
If
y
=
tan
−
1
(
2
x
1
−
x
2
)
, then find
d
y
d
x
.
Q.
If
y
=
e
a
x
cos
b
x
, then find the value of
d
2
y
d
x
2
−
2
a
d
y
d
x
+
(
a
2
+
b
2
)
y
.
Q.
If
y
=
e
a
x
⋅
cos
(
b
x
+
c
)
, then find
d
y
d
x
Q.
If
y
=
a
x
2
(
x
−
a
)
(
x
−
b
)
(
x
−
c
)
+
b
x
(
x
−
b
)
(
x
−
c
)
+
c
x
−
c
+
1
then prove that
d
y
d
x
=
y
x
[
a
a
−
x
+
b
b
−
x
+
c
c
−
x
]
Q.
If
y
=
P
e
a
x
+
Q
e
b
x
, then prove that
d
2
y
d
x
2
−
(
a
+
b
)
d
y
d
x
+
a
b
y
=
0
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Rate of Change
MATHEMATICS
Watch in App
Explore more
Average Rate of Change
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app