Question

Find the slope of the tangent line to the curve
\sqrt{1x +4y} + \sqrt{4xy} = 17
at the point ( 7,5 ).

So far I have (1/2)(x+4y)^(-1/2)(1+4y')+(1/2)(4xy)^(-1/2)(4y)+(4xy')=0 but I don't know what to do next.