1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Product Rule of Differentiation
Differentiate...
Question
Differentiate the following functions with respect to x:
sinx cosx
Open in App
Solution
We have,
d
d
x
(
s
i
n
x
c
o
s
x
)
c
o
s
x
d
d
x
(
s
i
n
x
)
+
s
i
n
x
d
d
x
(
c
o
s
x
)
[Using product rule]
=
c
o
s
x
(
c
o
s
x
)
+
s
i
n
x
(
−
s
i
n
x
)
=
c
o
s
2
x
−
s
i
n
2
x
[
∵
c
o
s
2
x
=
c
o
s
2
x
−
s
i
n
2
x
]
=
c
o
s
2
x
Suggest Corrections
5
Similar questions
Q.
Differentiate the function with respect to x:
x
sin
x
+
(
sin
x
)
cos
x
Q.
Differentiate
sin
x
cos
x
+
cos
x
sin
x
with respect to
x
.
Q.
Differentiate the function w.r.t.
x
.
x
sin
x
+
(
sin
x
)
cos
x
Q.
Differentiate
cos
x
sin
x
with respect to
sin
x
cos
x
.
Q.
Differentiate the given functions w.r.t. x.
y
=
x
s
i
n
x
+
s
i
n
x
c
o
s
x
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
Basic Theorems in Differentiation
MATHEMATICS
Watch in App
Explore more
Product Rule of Differentiation
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