f(x)在[0,2]可导,|f'(x)|
f(x)可导,在(0,+∞)上有f(x)〉f'(x)ln(x^x),试比较f(2)与f(e)ln2的大小..
设函数f(x)在(-∞,+∞)可导,且满足f(0)=1,f'(x)=f(x),证明f(x)=e^x
设f(x)可导,求lim[f(x+△x)]^2-[f(x)]^2 △x→0
如果函数F(x)在R上处处可导F(0)'=1对于任意x,y恒有F(x+y)=F(x)+F(y)+2xy,求F(x)'?
设f(x)为可导函数,且满足条件lim(x->0)[f(1)-f(1-x)]/2x=1,则曲线y=f(x)在(1,f(x
f(x)为可导函数,f(0)=1,f(x)'=2f(x),证明:f(x)=e^2x
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)
设f(x)可导,F(x)=f(x)(1+|sinx|),若F(X)在点x=0处可导,则必有(?)
定义在R上的可导函数f(x)满足f(-x)=f(x),f(x-2)=f(x+2),且当x∈[2,4]时,f(x)=x^2
f(x)在x=0可导,f(x)=f(0)+2x+0(x),则f'(0)=?【此题结果为2,题中若没有f(0)是否结果仍为
设f(x)为可导函数,且满足lim[f(1)+f(1-2x)]/2x=-1,x趋于0时,求曲线y=f(x)在点(1,f(
设f(x)为可导函数,且满足lim[f(1)-f(1-x)]/2x=-2,x趋于0时,求曲线y=f(x)在点(1,f(1