设f(x)在[0,3]上可微,且在(0,3)内f'(x)≥2.如果f(0)≥4,证明:f(3)≥10

设f(x)在[0,3]上可微,且在(0,3)内f'(x)≥2.如果f(0)≥4,证明:f(3)≥10 设函数f(x)在[0,1]上可导,且0 设函数f(x)在[0,1]上可导,且0 设f(x)在[1,e]上可导,且0 设f(x)在[0,1]上可积,且a 设函数f(x)在闭区间[0,1]上可导,且f(0)×f(1) 设f(x)在x=0处二阶可导,且极限(sinx+xf(x))/x^3=0,(x→0),求f(0),f'(0),f''(0). 设f(x)在[0,1]二阶可导,且f(x)在(0,1)上最大值为1/4,|f ''(x)| 设f(x)在[0,2]上连续,在(0,2)上可微,且f(0)*f(2)>0,f(0)*f(1) 设f(x)在[0,1]上具有二阶连续导数,且|f''(x)| 一道高数证明题,设函数f(x)在[0,1]上可导,且|f'(x)| 设f(x)在(0,1)具有二阶导数,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)为奇函数,且在（-无穷大,0）内是减函数,f(-3)=0,则不等式xf(x) 设f(x)是奇函数,且在区间0,+∞)上是增函数,又f(-3)=0,则xf(x) 设f(x)在[a,b]上二阶可导,且f''(x)>0,证明:函数F(x)=(f(x)-f(a))/(x-a)在(a,b]上单调增加 设f(x)在[0,1]上有二阶连续导数,且满足f(1)=f(0)及|f''(x)|