f(x)=f'(x) ,f(0)=1,证明f(x)=e的x次方

f'(x)=x[f'(x)-1],f(0)=0,求f(x)极值. 计算:f(x)f'(x)=x f(0)=1 f(x)=? 导数：f(x+y)=f(x)f(y),且f'(o)=1,求f'(x)f(x+y)=f(x)f(y),且f'(o)=1,求f'(x)f(x+y)=f(x)+f(y)+2xy,且f'(o)存在,求f'(x) f(1+x)=af(x),且f'(0)=b,求f'(1) F(x)=f(x)(1+|sinx|),F(x),f(x)在x=0处可导,求f(0) 有一个函数f(x),f(x)=f'(x),f(0)=1,证明：f(x)=e^x 设f(x)满足f(x)+f'(x)+f(x)=e^x+2,且f(0)=1,f'(0)=0,求f(x) 函数f(x)满足f'(x)=f(x)+1,且f(0)=0,则f(x)=______ f'(x)是f(x)的导数, f(x)的导数=f(x)+1,且f(0)=0,求f(x) f(x)+f((x-1)/x)=2x; x!=0,1; 求f(x) 设f(x)= 1-x分之x 求f[(fx)]和f{f[f(x)]} 设f(x)=arctan x ,求f(0),f(-1),f(x^2-1) f(x)+f[(x-1)/x]=2x x不等于0,1.求f(x). 求导数 已知f(x)=(x-1)^2,求f'(X) f'(0) f'(2) f[f(x)]=4x-1 求f(x) f(x)=sinx,求导f('f(x)),f(f'(x)),[f（f(x)）]' 设F(x)>0,F(0)=1,F‘(x)=f(x),且f(x)F(x)=sin^2(2x)(x>=0),求f(x).是F'（x)=f(x) 已知二次函数f(x),满足f(0)=2,f(x+1)-f(x)=-1,求f(x). 设f(x)=x-3/x+2 ,求 f(0),f(a+1),f[f(x)]