i am still a beginner in this and don't know how to do it so please can you help? find a parametric equation for the line that is perpendicular to the graph of the given equation at the given point:

z=x^3-xy^2 , (-1,1,0)

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i am still a beginner in this and don't know how to do it so please can you help? find a parametric equation for the line that is perpendicular to the graph of the given equation at the given point:

z=x^3-xy^2 , (-1,1,0)

New contributor

normalto asurfacegiven by animplicit equation$f(x,y,z)=0$ in a point $M_0(x_0,y_0,z_0)$ is directed by thegradient$G_0(\partial f/\partial x, \partial f/\partial y,\partial f/\partial z)$ computed in $M_0$ (please note the precise words). Parametric equations are given by $(x,y,z)=M_0+t G_0$. $\endgroup$ – Jean Marie Becker yesterday