题目
○3.求由下列方程所确定的隐函数的导数:-|||-(1) ^2y+3(x)^4(y)^3-4=0, 求 dfrac (dy)(dx);-|||-(2) ln sqrt ({x)^2+(y)^2}=arctan dfrac (y)(x), 求 dfrac (dy)(dx);-|||-(3) ^-xy+2z-(e)^2=0, 求 dfrac (partial z)(partial x) ,az/ay;-|||-(4) +sqrt ({a)^2-(y)^2}=y(e)^y, =dfrac (x+sqrt {{a)^2-(y)^2}}(a)(agt 0), 求 dfrac (dy)(dx), dfrac ({d)^2y}(d{x)^2};-|||-(5) ^2+(y)^2+(z)^2-2x+2y-4z-5=0, 求 dfrac (partial z)(partial x) ,az/ay;-|||-(6) =f(x+y+z,xyz), 求 dfrac (partial z)(partial x), dfrac (partial x)(partial y), dfrac (partial y)(partial z).
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