Consider the following systems of equations, y^2-z+u-v-w^3=-1, -2x+y-z^2+u+v^3-w=-3, x^2+z-u-v+w^3=3. For this system, P=(x,y,z,u,v,w)=(1,1,0,-1,0,1) is a solution. Applythe implicit function theorem to prove that the system defines u,v,w as continuously differentiable function of x,y, z in neighborhood of P . Find u'x, v'x, w'x at P?
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p=(p,x,z,y)
Step-by-step explanation:
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