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5.14:- g(x, y)=8 \ln (y)-x(1) \sqrt{g_{a}^{\prime}(x, y)}=-1(2) g_{y}(x, y)=\frac{8}{y}(3) \operatorname{l}_{x x}(x, y)=\frac{\partial}{\partial x}(-1)g_{x x}(x, y)=0(4) \operatorname{gy}_{x}(x, y)=\frac{\partial}{\partial x}\left(\frac{8}{y}\right)g_{y x}(x, y)=0(5)\begin{array}{l}g_{y y}(x, y)=\frac{\partial}{\partial y}\left(\frac{8}{y}\right) \\g_{y y}(x, y)=\frac{-8}{y^{2}}\end{array} ...