Find \nabla f at the given point.\newline $f(x,y,z) = e^{x+y} \cos z + (y+7)\sin^{-1} x$, \begin{pmatrix} 0, 0, \frac{\pi}{6} \end{pmatrix}\newline $\nabla f \begin{pmatrix} 0, 0, \frac{\pi}{6} \end{pmatrix} = \boxed{} \mathbf{i} + \boxed{} \mathbf{j} + \boxed{} \mathbf{k}$\newline (Type an exact answer, using radicals as needed.)
