Finding the divergence

Question

Find the divergence of F^-> (x, y, z) = < xcos⁻¹y, z/ (y² + 1) , 3xz² + 2y > at (2, 0, −1).

Answer 1

Call the given vector < P, Q, R >

divergence = ∂P/∂x + ∂Q/∂y + ∂R/∂z = cos^-1y - z(y²+1)^-2(2y) + 6xz

So, when x = 2, y = 0, and z = -1, we have 1 + 0 - 12 = -11