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If x^(13)y^7=(x+y)^(20),p rov et h a t(d...

If `x^(13)y^7=(x+y)^(20),p rov et h a t(dy)/(dx)=y/xdot`

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`x^(13)y^7=(x+y)^(20)`
=`log(x^(13)y^7)=log(x+y)^(20)`
=`13logx+7logy=20log(x+y)`
Differentiating
=`13/x+7/y(dy/dx)=20/(x+y).(1+(dy/dx))`
=`13/x-20/(x+y)=(20/(x+y)-7/y)(dy/dx)`
=`(13y-7x)/(x(x+y))=(13y-7x)/(y(x+y))(dy/dx)`
=`(dy/dx)=y/x`
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