设函数f(x)在[a,b]上连续,在(a,b)内可导,且满足f(a)=0,若f'(x)单调增加,则φ(x)=f(x)/(
设函数f(x)在[a,b]上连续,在(a,b)内可导,且满足f(a)=0,若f'(x)单调增加,则φ(x)=f(x)/(
设函数f(x)在[a,b]上连续,在(a,b)内可导且f'(x)
设函数f(x)在[a,b)上单调增加,且存在极限limf(x)=A,证明f(x)在[a,b)上有界
设f‘(x)在[a,b]上连续,且f(a)=0,证明:|∫b a f(x)dx|
设函数f(x)在[a,b]上连续,在(a,b)内有二阶导数,且有f(a)=f(b)=0,f(c)>0(a
设函数f(x)在【a,b】上连续且单调增加,求证∫[a ,b] xf(x)dx >=a+b/2∫[a ,b] f(x)d
设函数f(x)在[a,b]上连续,在(a,b)内可导,且f(a)=f(b)=0,
设函数f(x)在[a,b]上连续,在(a,b)可导,且f(a)*f(b)>0,f(a)*f((a+b)/2)
【中值定理证明题】设函数f(x)在[a,b]上连续,在(a,b)上可导,且f(a)f(b)>0,f(a)f((a+b)/
设函数f(x)在区间[a,b]上连续,在(a,b)内可导且f'(x)≤0,F(X)=1\(x-a)·∫<a,x>f(t)
f(x)在[a,b]上连续,在(a,b) 内可导,且 f '(x)≤0,F(x)=1/(x-a)∫(x-a)f(t)dt
设函数f(x)在[a,b]上连续,在(a,b)内可导,且f(a)=f(b),则曲线y=f(x)在(a,b)内平行于x轴的