function J = p10_j ( m, n, x )

%*****************************************************************************80
%
%% p09_j() evaluates the jacobian for problem 9.
%
%  Discussion:
%
%    The jacobian matrix of a set of M functions F(I) that depend
%    on N variables X(J) is
%
%      J(I,J) = d F(I) / d X(J)
%
%  Licensing:
%
%    This code is distributed under the MIT license.
%
%  Modified:
%
%  Modified:
%
%    03 March 2026
%
%  Author:
%
%    John Burkardt
%
%  Input:
%
%    integer M, the number of equations.
%
%    integer N, the number of variables.
%
%    real X(N), the evaluation point.
%
%  Output:
%
%    real J(M,N), the jacobian matrix.
%
  J = zeros ( m, n );

  for i = 1 : 16
    temp = 5.0 * i + 45.0 + x(3);
    J(i,1) = exp ( x(2) / temp );
    J(i,2) = x(1) * exp ( x(2) / temp ) / temp;
    J(i,3) = - J(i,2) * x(2) / temp;
  end

  return
end
