若f(x)在[a,b]上连续,在(a,b)内可导,|f'(x)|小于等于M,f(a)=0,求证:f(x)dx在[a,b]上的定积分小...若f(x)在[a,b]上连续,在(a,b)内可导,|f'(x)|小于等于M,f(a)=0,求证:f(x)dx在[a,b]上的定积分小于等于(b-a)的平方乘
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![若f(x)在[a,b]上连续,在(a,b)内可导,|f'(x)|小于等于M,f(a)=0,求证:f(x)dx在[a,b]上的定积分小...若f(x)在[a,b]上连续,在(a,b)内可导,|f'(x)|小于等于M,f(a)=0,求证:f(x)dx在[a,b]上的定积分小于等于(b-a)的平方乘](/uploads/image/z/3993951-39-1.jpg?t=%E8%8B%A5f%28x%29%E5%9C%A8%5Ba%2Cb%5D%E4%B8%8A%E8%BF%9E%E7%BB%AD%2C%E5%9C%A8%28a%2Cb%29%E5%86%85%E5%8F%AF%E5%AF%BC%2C%7Cf%27%28x%29%7C%E5%B0%8F%E4%BA%8E%E7%AD%89%E4%BA%8EM%2Cf%28a%29%3D0%2C%E6%B1%82%E8%AF%81%3Af%28x%29dx%E5%9C%A8%5Ba%2Cb%5D%E4%B8%8A%E7%9A%84%E5%AE%9A%E7%A7%AF%E5%88%86%E5%B0%8F...%E8%8B%A5f%28x%29%E5%9C%A8%5Ba%2Cb%5D%E4%B8%8A%E8%BF%9E%E7%BB%AD%2C%E5%9C%A8%28a%2Cb%29%E5%86%85%E5%8F%AF%E5%AF%BC%2C%7Cf%27%28x%29%7C%E5%B0%8F%E4%BA%8E%E7%AD%89%E4%BA%8EM%2Cf%28a%29%3D0%2C%E6%B1%82%E8%AF%81%3Af%28x%29dx%E5%9C%A8%5Ba%2Cb%5D%E4%B8%8A%E7%9A%84%E5%AE%9A%E7%A7%AF%E5%88%86%E5%B0%8F%E4%BA%8E%E7%AD%89%E4%BA%8E%28b-a%29%E7%9A%84%E5%B9%B3%E6%96%B9%E4%B9%98)
若f(x)在[a,b]上连续,在(a,b)内可导,|f'(x)|小于等于M,f(a)=0,求证:f(x)dx在[a,b]上的定积分小...若f(x)在[a,b]上连续,在(a,b)内可导,|f'(x)|小于等于M,f(a)=0,求证:f(x)dx在[a,b]上的定积分小于等于(b-a)的平方乘
若f(x)在[a,b]上连续,在(a,b)内可导,|f'(x)|小于等于M,f(a)=0,求证:f(x)dx在[a,b]上的定积分小...
若f(x)在[a,b]上连续,在(a,b)内可导,|f'(x)|小于等于M,f(a)=0,求证:f(x)dx在[a,b]上的定积分小于等于(b-a)的平方乘以M除以2
若f(x)在[a,b]上连续,在(a,b)内可导,|f'(x)|小于等于M,f(a)=0,求证:f(x)dx在[a,b]上的定积分小...若f(x)在[a,b]上连续,在(a,b)内可导,|f'(x)|小于等于M,f(a)=0,求证:f(x)dx在[a,b]上的定积分小于等于(b-a)的平方乘
打了一大堆,却输入字数限制,没辙了.只能说下大概过程:
将b转为以x,建立辅助函数:F ( x ) = ∫ f(t) d t - M/2 * ( x -a )² (上限是x,下限是a)
F(a)=0,连续两次求导利用已知条件判断F(x)大于0就得证
同做这道题
F ( x ) = ∫ f(t) d t - M/2 * ( x -a )² (上限是x,下限是a)
F(a)=0
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