英语翻译等式或不等式的证明灵活多样,特别地,对于较复杂的不等式或等式的证明往往不是一件容易的事,但对于某些不等式或等式,它的表达式(函数)只要具备可微(可导)的条件,便可直
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![英语翻译等式或不等式的证明灵活多样,特别地,对于较复杂的不等式或等式的证明往往不是一件容易的事,但对于某些不等式或等式,它的表达式(函数)只要具备可微(可导)的条件,便可直](/uploads/image/z/1884419-35-9.jpg?t=%E8%8B%B1%E8%AF%AD%E7%BF%BB%E8%AF%91%E7%AD%89%E5%BC%8F%E6%88%96%E4%B8%8D%E7%AD%89%E5%BC%8F%E7%9A%84%E8%AF%81%E6%98%8E%E7%81%B5%E6%B4%BB%E5%A4%9A%E6%A0%B7%2C%E7%89%B9%E5%88%AB%E5%9C%B0%2C%E5%AF%B9%E4%BA%8E%E8%BE%83%E5%A4%8D%E6%9D%82%E7%9A%84%E4%B8%8D%E7%AD%89%E5%BC%8F%E6%88%96%E7%AD%89%E5%BC%8F%E7%9A%84%E8%AF%81%E6%98%8E%E5%BE%80%E5%BE%80%E4%B8%8D%E6%98%AF%E4%B8%80%E4%BB%B6%E5%AE%B9%E6%98%93%E7%9A%84%E4%BA%8B%2C%E4%BD%86%E5%AF%B9%E4%BA%8E%E6%9F%90%E4%BA%9B%E4%B8%8D%E7%AD%89%E5%BC%8F%E6%88%96%E7%AD%89%E5%BC%8F%2C%E5%AE%83%E7%9A%84%E8%A1%A8%E8%BE%BE%E5%BC%8F%EF%BC%88%E5%87%BD%E6%95%B0%EF%BC%89%E5%8F%AA%E8%A6%81%E5%85%B7%E5%A4%87%E5%8F%AF%E5%BE%AE%EF%BC%88%E5%8F%AF%E5%AF%BC%EF%BC%89%E7%9A%84%E6%9D%A1%E4%BB%B6%2C%E4%BE%BF%E5%8F%AF%E7%9B%B4)
英语翻译等式或不等式的证明灵活多样,特别地,对于较复杂的不等式或等式的证明往往不是一件容易的事,但对于某些不等式或等式,它的表达式(函数)只要具备可微(可导)的条件,便可直
英语翻译
等式或不等式的证明灵活多样,特别地,对于较复杂的不等式或等式的证明往往不是一件容易的事,但对于某些不等式或等式,它的表达式(函数)只要具备可微(可导)的条件,便可直接或间接利用微分的一些性质(可导函数的单调性、微分中值定理、泰勒中值定理、求极值的方法、可导凸凹函数的性质等)得到有效的证明.本文拟对利用微分的性质证明(不)等式的各种方法与技巧加以归纳总结,并给出相应的例子加以证明,这在教学上具有一定的指导意义
请不要用在线英语翻译,这是毕业论文的翻译,需要要求高点
英语翻译等式或不等式的证明灵活多样,特别地,对于较复杂的不等式或等式的证明往往不是一件容易的事,但对于某些不等式或等式,它的表达式(函数)只要具备可微(可导)的条件,便可直
Proof of equality or inequality flexible, in particular, for the more complex the proof of inequality or equality is often not an easy task, but for some inequality or equality, its expression (function) provided they have differentiable (differentiable) conditions, which could be directly or indirectly, of some differential properties (differentiable monotone function, differential mean value theorem, Taylor value theorem, extremum of the method can guide the nature of convex and concave functions) are Valid proof. This paper intends to prove the nature of the differential (in) equation of the various methods and techniques to be summarized,