If V=f(r, s, t) and r=x/y, s=y/z, t=z/x. Show that x dV/dx+y dV/dy+z dV/dz. Partial Derivatives.
9:02
YouTubeSK-Academy Of Mathematics
If V=f(r, s, t) and r=x/y, s=y/z, t=z/x. Show that x dV/dx+y dV/dy+z dV/dz. Partial Derivatives.
In this problem, a vector field V is defined using a cyclic function of the variables . Each component of the vector field depends on a different cyclic permutation of the same function. By taking the partial derivative of each component with respect to its corresponding variable and adding the results, we find that the sum becomes zero. This ...
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