设F(x)在【0,1】上连续,在(0,1)内可导,且F(0)=F(1)=0,F(0.5)=1,试证至少有一点W,使F'(W)=1
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/22 01:38:22
![设F(x)在【0,1】上连续,在(0,1)内可导,且F(0)=F(1)=0,F(0.5)=1,试证至少有一点W,使F'(W)=1](/uploads/image/z/14590878-6-8.jpg?t=%E8%AE%BEF%28x%29%E5%9C%A8%E3%80%900%2C1%E3%80%91%E4%B8%8A%E8%BF%9E%E7%BB%AD%2C%E5%9C%A8%EF%BC%880%2C1%EF%BC%89%E5%86%85%E5%8F%AF%E5%AF%BC%2C%E4%B8%94F%EF%BC%880%29%3DF%281%EF%BC%89%3D0%2CF%280.5%29%3D1%2C%E8%AF%95%E8%AF%81%E8%87%B3%E5%B0%91%E6%9C%89%E4%B8%80%E7%82%B9W%2C%E4%BD%BFF%27%28W%29%3D1)
设F(x)在【0,1】上连续,在(0,1)内可导,且F(0)=F(1)=0,F(0.5)=1,试证至少有一点W,使F'(W)=1
设F(x)在【0,1】上连续,在(0,1)内可导,且F(0)=F(1)=0,F(0.5)=1,试证至少有一点W,使F'(W)=1
设F(x)在【0,1】上连续,在(0,1)内可导,且F(0)=F(1)=0,F(0.5)=1,试证至少有一点W,使F'(W)=1
设 G(x) = F(x) - x
G(0) = 0
G(1) = -1
G(0.5) = 0.5
所以 G(x) 的最大值必在开区间(0,1)中一点 w 达到.于是 G'(w) = 0,
即:F'(w) - 1 = 0 =====> F'(w) = 1
设f(x)在[0,1]上具有二阶连续导数,且|f''(x)|
设f(x)在[0,1]上连续,且f(x)
高等数学问题:设f(x)在[0,1]上连续,且f(x)
设f(x)在[0,1]上有连续导数,f(0)=0,0
设f(x)在[0,1]上有连续导数,f(0)=0,0
设f(x)在[0,1]上连续,试证∫(0,π/2)f(|cosx|)
设f(x)在区间[0,1]上连续,且f0)f(1)
设f(x)在[0,1]上连续,且f(t)
设f(x)在[0,1]上有连续一阶导数,在(0,1)内二阶可导.
设f(x)在[0,1]内连续递减 0
设f(x)在[0,1]上有连续导数,且f(x)=f(0)=0.证明
设函数f(x)在闭区间[0,1]上连续,且0
设函数f(x)在区间[0,1]上连续,切0
设函数y=f(x)在[0,1]上连续,且0
设函数y=f(x)在[0,1]上连续,且0
一道高数题,证明:设f(x)在[0,1]上连续,且0
高数证明题:设函数f(x)在区间[0,1]上连续,证明
高数题求解.设函数f(x)在0到1上闭区间连续,证明