if (x^2 + y^2)^2=xy find dy/dx
Answers
Answered by
3
(x
2
+y
2
)
2
=xy
x
4
+2x
2
y
2
+y
4
−xy=0
Differentiating w.r.t x,
4x
3
+2[x
2
.2y(
dx
dy
)+y
2
(2x)]+4y
3
(
dx
dy
)−[
dx
xdy
+y(1)]=0
(
dx
dy
)[4x
2
y+4y
3
−x]+4x
3
+4xy
2
−y=0
(
dx
dy
)[4x
2
y+4y
3
−x]=y−4x
3
−4xy
2
(
dx
dy
)=
4x
2
y+4y
3
−x
y−4x
3
−4xy
2
Similar questions