if x=-3,y=5 then find d(x,y).
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the answer Is 4
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Answered by
1
Answer:
x
3
y
5
=(x+y)
8
⇒x
3
(5y
4
dx
dy
)+y
5
(3x
2
)=8(x+y)
7
(1+
dx
dy
)
⇒5x
3
y
4
dx
dy
+3x
2
y
5
=8(x+y)
7
+8(x+y)
7
dx
dy
⇒(5x
3
y
4
−8(x+y)
7
)
dx
dy
=8(x+y)
7
−3x
2
y
5
We have x
3
y
5
=(x+y)
8
⇒x
3
y
4
=
y
(x+y)
8
and x
2
y
5
=(x+y)
8
⇒x
2
y
5
=
x
(x+y)
8
⇒(
y
5(x+y)
8
−8(x+y)
7
)
dx
dy
=8(x+y)
7
−
x
3(x+y)
8
⇒(x+y)
7
(
y
5x+5y
−8)
dx
dy
=(x+y)
7
(8−
x
3x+3y
)
⇒
y
5x+5y−8y
dx
dy
=
x
8x−3x−3y
⇒
y
5x−3y
dx
dy
=
x
5x−3y
∴
dx
dy
=
x
y
Step-by-step explanation:
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