sin²x²-cos²x² differentiate with respect to x
Attachments:
Answers
Answered by
0
Answer:
Course menu
Socratic Q&A logo
Search icon
What is the Derivative of y=sin²x² ?
Calculus
3 Answers
maganbhai P.
Apr 28, 2018
d
y
d
x
=
4
x
sin
x
2
cos
x
2
=
2
x
sin
2
x
2
Explanation:
We know that,
(
1
)
d
d
X
(
X
n
)
=
n
⋅
X
n
−
1
(
2
)
d
d
X
(
sin
X
)
=
cos
X
(
3
)
sin
2
θ
=
2
sin
θ
cos
θ
Here,
y
=
sin
2
x
2
=
(
sin
x
2
)
2
Using
Chain Rule
,
step by step
d
y
d
x
=
2
(
sin
x
2
)
1
d
d
x
(
sin
x
2
)
...
→
A
p
p
l
y
(
1
)
d
y
d
x
=
2
(
sin
x
2
)
(
cos
x
2
)
d
d
x
(
x
2
)
...
→
A
p
p
l
y
(
2
)
d
y
d
x
=
2
(
sin
x
2
)
(
cos
x
2
)
(
2
x
)
d
y
d
x
=
4
x
sin
x
2
cos
x
2
d
y
d
x
=
2
x
[
2
sin
x
2
cos
x
2
]
...
→
A
p
p
l
y
(
3
)
d
y
d
x
=
2
x
sin
2
x
2
Similar questions