calculus

Calculus

 

Let this be a three-dimensional scalar field  f(x,y,z)=(1)/(x^2+y^2+z^2)-z

  Determine the gradient grad  f and the value of |grad  f| in spherical coordinates. Note

The negative "z" is not part of the fraction 1/(x^2+y^2+z^2). It is indeed separate. So the question would read: fraction -z Where the fraction is 1/(x^2+y^2+z^2).