Taylor展式:对任意的x, f(0)=f(x)+f'(x)(0-x)+f''(c1)(0-x)^2/2, f(1)=f(x)+f'(x)(1-x)+f''(c2)(1-x)^2/2. 两式相减,得 f'(x)=f''(c1)x^2/2-f''(c2)(1-x)^2/2, 取绝对值并利用条件得 |f'(x)|,6,