) 中图学技术大荸学系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS 向前差商 f(xo +h)-f(ro) 由 Taylor展开 f(x+h)=f(x)+h(x0)+f"(5x≤5≤x0+h 2 因此,有误差 R(x)=f(x0) f(ro +h)fo ∫"'()=O(h数 学 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS h f x h f x f x ( ) ( ) '( ) 0 0 0 + −  由Taylor展开 f x x h h f x + h = f x + hf x + 0   0 + 2 0 0 0 ''( ), 2! ( ) ( ) '( )   因此，有误差 ''( ) ( ) 2! ( ) ( ) ( ) '( ) 0 0 0 f O h h h f x h f x R x f x = − = + − = −  向前差商