设z=x2+√y,y=sinx,求全导数dz/dxd.
设z=x2+√y,y=sinx,求全导数dz/dxd.
【正确答案】:dz/dx=∂z/∂x•dx/dx+∂z/∂y•dy/dx=∂z/∂x+(∂z/∂y)(dy/dx) =2x+(1/2√y)cosx=2x+cos/2√sinx
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