设z=e-sin2(xy)2,则∂z/∂y=____．

设z=e^-sin2(xy)2,则∂z/∂y=____．
【正确答案】：-2x²ysin[2(xy)²]e^-sin2(xy)2。解析:∂z/∂y=e^-sin2(xy)2•-2sin(xy)²•cos(xy)²•2x²y=-2x²ysin[2(xy)²]e^-sin2(xy)2