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Question Number 184735 by mustafazaheen last updated on 11/Jan/23

$$$$$$f(x,y)=\left(\sqrt{3{xy}^2}\right)\left(\sqrt[5]{x^5{y}^2}\right)$$$$f^{{}^{\prime }}(x,y)=?f^{″}(x,y)=?$$$$$$

Commented by mr W last updated on 11/Jan/23

$$therearenothingslike{f}^{\prime }(x,y)or$$$$f^{″}(x,y).ifyoumean\frac{\partial f(x,y)}{\partial x}or$$$$\frac{{\partial }^{2}f(x,y)}{\partial x^2},youshouldalsocorrectly$$$$writewhatyouwanttoask.$$

Commented by mustafazaheen last updated on 11/Jan/23

$$Mr\frac{{\partial }^{2}f(x,y)}{\partial x^2}=?$$

Commented by mr W last updated on 11/Jan/23

$$f(x,y)=\sqrt{3}{x}^{\frac{3}{2}}{y}^{\frac{7}{5}}$$$$\frac{\partial f}{\partial x}=\frac{3\sqrt{3}}{2}{x}^{\frac{1}{2}}{y}^{\frac{7}{5}}$$$$\frac{{\partial }^{2}f}{\partial x^2}=\frac{3\sqrt{3}}{4}{x}^{-\frac{1}{2}}{y}^{\frac{7}{5}}$$

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