function f2 = p12_f2 ( x )

%*****************************************************************************80
%
%% p12_f2() evaluates the second derivative for problem 12.
%
%  Licensing:
%
%    This code is distributed under the MIT license.
%
%  Modified:
%
%    02 August 2019
%
%  Author:
%
%    John Burkardt
%
%  Input:
%
%    real x, the values of the variables.
%
%  Output:
%
%    real f2, the second derivative.
%
  f2 = 2.0 - 53.0 * 53.0 * sin ( 53.0 * x );

  return
end
