求一个次数不超过4的插值多项式p(x),使其满足:p(0)=f(0)=0,p(1)=f(1)=1,p'(0)=f '(0)=0,p'(1)=f '(1)=1,p''(1)=f''(1)=0,并求其余项表达式(设f(x)存在五阶导数).
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![求一个次数不超过4的插值多项式p(x),使其满足:p(0)=f(0)=0,p(1)=f(1)=1,p'(0)=f '(0)=0,p'(1)=f '(1)=1,p''(1)=f''(1)=0,并求其余项表达式(设f(x)存在五阶导数).](/uploads/image/z/10198047-39-7.jpg?t=%E6%B1%82%E4%B8%80%E4%B8%AA%E6%AC%A1%E6%95%B0%E4%B8%8D%E8%B6%85%E8%BF%874%E7%9A%84%E6%8F%92%E5%80%BC%E5%A4%9A%E9%A1%B9%E5%BC%8Fp%28x%29%2C%E4%BD%BF%E5%85%B6%E6%BB%A1%E8%B6%B3%EF%BC%9Ap%280%29%3Df%280%29%3D0%2Cp%281%29%3Df%281%29%3D1%2Cp%27%280%29%3Df+%27%280%29%3D0%2Cp%27%281%29%3Df+%27%281%29%3D1%2Cp%27%27%281%29%3Df%27%27%281%29%3D0%2C%E5%B9%B6%E6%B1%82%E5%85%B6%E4%BD%99%E9%A1%B9%E8%A1%A8%E8%BE%BE%E5%BC%8F%EF%BC%88%E8%AE%BEf%28x%29%E5%AD%98%E5%9C%A8%E4%BA%94%E9%98%B6%E5%AF%BC%E6%95%B0%EF%BC%89.)
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