Let f(x,y)=2x+3yf(x,y) = \sqrt{2x + 3y}f(x,y)=2x+3y. Determine the partial derivative fx(x,y)f_x(x,y)fx(x,y).
12x+3y\frac{1}{\sqrt{2x+3y}}2x+3y1
22x+3y\frac{2}{\sqrt{2x+3y}}2x+3y2
322x+3y\frac{3}{2\sqrt{2x+3y}}22x+3y3
2\sqrt{2}2