s = [ u^2 + v^2] / [ 2uv] = [ u^2 + v^2] [ 2uv]^(-1)
ds/ du [ Here...we treat v as a constant]....so we have [ using the product and chain rules ]
[ 2u + v^2] [ 2uv]^(-1) - (2v) [ u^2 + v^2] [ 2uv]^(-2)
Similarly
ds /dv [ we treat u as a constant ]
[ u^2 + 2v] [ 2uv]^(-1) - (2u) [ u^2 + v^2] [ 2uv]^(-2)