求偏导数z=arctan(x—y^2)

问题描述:

求偏导数z=arctan(x—y^2)

dz/dx= 1/[1+(x-y^2)] dz/dy= -2y/[1+(x-y^2)]

z=arctan(x-y²)∂z/∂x={1/[1+(x-y²)²]}×(x-y²)'=1/[1+(x-y²)²],那么∂z=∂x/[1+(x-y²)²]∂z/∂y={1/[1+(x-y²)²]}×(x-y²)...