# Math Help - Gradient Vector for the Surface f(x,y,z)=0

1. ## Gradient Vector for the Surface f(x,y,z)=0

Please describe the Gradient Vector of the Surface f(x,y,z)=0 for me.

Thanks in advance...

2. Given a function $f : \mathbb{R}^3 \to \mathbb{R}$, $f \in C^{1}$, the gradient of that function is a vector whose components in Cartesian coordinates are $
\left(\frac{\partial f}{\partial x}, \frac{\partial f}{\partial y}, \frac{\partial f}{\partial z}\right)$
.

Gradient - Wikipedia, the free encyclopedia