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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  • $\begingroup$ Any normal to a surface given by an implicit equation $f(x,y,z)=0$ in a point $M_0(x_0,y_0,z_0)$ is directed by the gradient $G_0(\partial f/\partial x, \partial f/\partial y,\partial f/\partial z)$ 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
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    $\begingroup$ Welcome to Mathoverflow. I hope the excellent comment by @JeanMarieBecker helps you with your question. You're unlikely to receive more detailed answers, since a question of the type you're asking isn't really in the right place here - Mathoverflow is for research-level questions. A better place for this kind of question is math.stackexchange.com . $\endgroup$ – Michael Engelhardt yesterday