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

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• November 3rd 2009, 09:58 AM
PhysicStu
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...
• November 3rd 2009, 12:54 PM
Ruun
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)$
.

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