Math, asked by sunitaade3, 3 months ago

Xxy = y² + log (x+y)

Answers

Answered by dwkhritwik1429
0

Answer:

Given expression is,

log(x.y)=x

2

+y

2

∴logx+logy=x

2

+y

2

Differentiate both sides w.r.t. x, we get,

x

1

+

y

1

dx

dy

=2x+2y

dx

dy

x

1

−2x=2y

dx

dy

y

1

dx

dy

∴(2y−

y

1

)

dx

dy

=

x

1

−2x

∴(

y

2y

2

−1

)

dx

dy

=

x

1−2x

2

dx

dy

=(

2y

2

−1

y

)(

x

1−2x

2

)

dx

dy

=

x(2y

2

−1)

y(1−2x

2

)

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