单选题 难度 3 设函数 z=yxf(xy)z=\dfrac{y}{x}f(xy)z=xyf(xy),其中 fff 可微,则 xy∂z∂x+∂z∂y=\dfrac{x}{y}\dfrac{\partial z}{\partial x}+\dfrac{\partial z}{\partial y}=yx∂x∂z+∂y∂z=( ) A 选项 A 2yf′(xy)2y f'(xy)2yf′(xy) B 选项 B −2yf′(xy)-2y f'(xy)−2yf′(xy) C 选项 C 2xf(xy)\dfrac{2}{x}f(xy)x2f(xy) D 选项 D −2xf(xy)-\dfrac{2}{x}f(xy)−x2f(xy) 答案与解析 微信扫描二维码 免费获取正确答案和解析