X^3+y^3=4xy Differentiation
Answers
Answered by
0
Answer:
8/5
Step-by-step explanation:
d
d
x
(
x
3
+
y
3
=
4
x
y
+
1
)
−
−
(
1
)
we will differentiate
w
r
t
x
. Remembering that when differentiating
y
we multiply by
d
y
d
x
by virtue of the chain rule. Also on the
R
H
S
we will need the product rule on the first term
(
1
)
→
3
x
2
+
3
y
2
d
y
d
x
=
4
y
+
4
x
d
y
d
x
+
0
rearrange for
d
y
d
x
3
y
2
d
y
d
x
−
4
x
d
y
d
x
=
4
y
−
3
x
2
d
y
d
x
(
3
y
2
−
4
x
)
=
4
y
−
3
x
2
⇒
d
y
d
x
=
4
y
−
3
x
2
3
y
2
−
4
x
∴
[
d
y
d
x
]
=
(
2
,
1
)
=
4
×
1
−
3
×
2
2
3
×
1
2
−
4
×
2
=
4
−
12
3
−
8
=
−
8
−
5
=
8
5
Answered by
0
Answer:
take reference from picture given.
Step-by-step explanation:
As I was differentiating wrt x, I obeyed the chain rule and differentiated wrt y, that is multiply dy/dy with y^3 and then differentiate.
The same applies with the second part as well.
Attachments:
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