问题
问答题
证明由方程2sin(x+2y-3z)=x+2y-3z确定的隐函数z=z(x,y)满足.
答案
参考答案:
解析:证明:令F(x,y,z)=2sin(x+2y-3z)-x-2y+3z
则F’x=2cos(x+2y-3z)-1,F’y=4cos(x+2y-3z)-2.F’z=-6cos(x+2y-3z)+3
证明由方程2sin(x+2y-3z)=x+2y-3z确定的隐函数z=z(x,y)满足.
参考答案:
解析:证明:令F(x,y,z)=2sin(x+2y-3z)-x-2y+3z
则F’x=2cos(x+2y-3z)-1,F’y=4cos(x+2y-3z)-2.F’z=-6cos(x+2y-3z)+3