Find the directional derivative of f(x, y, z) = x2 + y2 + z2 at P(2, 1, 3) in the direction of the origin.

Find the directional derivative of f(x, y, z) = x2 + y2 + z2 at P(2, 1, 3) in the direction of the origin.

Givenf(x, y, z) = x2 + y2 + z2The gradient is Grad(f)(x, y, z) = (2x, 2y, 2z).To find the directional derivative in the direction of the origin,Grad_origin(f)(x, y, z) = (2x, 2y, 2z) . (0, 0,...