Question: Let \(z=f\left( x,y \right)={{e}^{3x+2y}}\), find

(a) \({{f}_{x}}\left( x,y \right)=3{{e}^{3x+2y}}\)

(b) \({{f}_{y}}\left( x,y \right)=2{{e}^{3x+2y}}\)

(c) \({{f}_{xx}}\left( x,y \right)\)

(d) \({{f}_{xy}}\left( x,y \right)\)

(e) \({{f}_{yy}}\left( x,y \right)\)