f(x)在x=1连续且f(x)=2x+1(x≤1)& =a+lnx(x＞1),a=?f(x)在x=π连续且f(x)=cosx x≤π&=a+x x＞π,a=?

f(x)连续且f(x)=x+(x^2)∫ (0,1)f(t)dt,求f(x) 设f(x)在x=1处连续,且lim(x趋向于1时)f(x)/(x-1)=2,则f'(1)=___ 设f(x)在x=0连续,且lim(x+sinx)/ln[f(x)+2]=1x趋近于0,则f'(0)? lim(x趋向于0)f(2x)/x=1,且f(x)连续,则f'(0)= 设F(X)在[0,1连续,且满足f(X)=4X^3-3X^2∫f(x)dx正在考试,求速度 一道高数题,设函数f(x)在[0,+∞)上连续,且f(x)=x(e^-x)+(e^x)∫(0,1) f(x)dx,则f(x)=?设函数f(x)在[0,+∞)上连续,且f(x)=x(e^-x)+(e^x) ∫(0,1) f(x)dx ,则f(x)= 设函数f(x)在x=1连续,且f(x)/(x-1)的极限存在,求证f(x)在x=1可导. 设f(x)在[0,1]上有二阶连续导数,且满足f(1)=f(0)及|f''(x)| f(x)连续且可导,并且f(x+y)=[f(x)+f(y)]/[1-f(x)f(y)],求f(x) 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,证明在(a,b) 内 F'(x)≤0.由题意有F'(x)=[f(x)(x-a)-∫(x-a)f(t)dt]/(x-a)^2,x∈(a,b) 设f(x)在闭区间[-1,1]上连续,在开区间(-1,1)上可导,且|f'(x)|=M B|f(x)|>M C|f(x)| 设f(x)在x=0处连续,且lim(x趋于0）f(x)/x^2=1 ,证明函数f(x)在x=0处可导且取得极小值. 设f(x)在x=0处连续,且lim(x趋于0）f(x)/x^2=1 ,证明函数f(x)在x=0处可导且取得极小值. f(x)在x=1连续且f(x)=2x+1(x≤1)& =a+lnx(x＞1),a=?f(x)在x=π连续且f(x)=cosx x≤π&=a+x x＞π,a=? 设f(x)=|x-1|f(x),而f（x)在x=1处连续,且fx)=1 证明：设f(x)在x=0连续,且lim(x→0) (f(x)/x)=1,则必有f'(0)=1 设f(x)在x=0处连续,且limx->0f(x)-1/x=a(a为常数),求f(0),f'(0) f(x)在[0,1]连续,f(x)=3x-√(1-x^2)[∫f^2(x)]dx,求f(x)