Module 1 : A Crash Course in Vectors
Lecture 4 : Gradient of a Scalar Function

Example 14 :
Find the gradient of the scalar function $V = x^2y+y^2z+z^2x+2xyz$.
Solution :

\begin{eqnarray*} \nabla V &=& \hat\imath\frac{\partial V}{\partial x} + \hat\j... ...V} {\partial z}\\ &=& 2(xy+zx+yz)(\hat\imath+\hat\jmath+\hat k) \end{eqnarray*}

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