f(x+y)=f(x)+f(y)-1,f(-1/2)=0.求单调性当x> -1/2时。f（x）>0

f(xy)=f(x)+f(y),证明f(x/y)=f(x)-f(y) y=f(f(f(x))) 求导 f(x+y)+f(xy-1)=f(x)f(y)+2f(n)表达式 f(1)=1/4,4f(x)f(y)=f(x+y)f(x-y),求：f(2010)=?注意，是4f(x)f(y) 设f(x)=e的y次方,证明：（1）,f(x)f(y)=f(x+y) ,(2),f (x)/f(y)=f(x-y) f(xy)=f(x)+f(y),证明f(1/x)=-f(x) 已知f(x)=3^x,求证：(1)f(x)·f(y)=f(x+y);(2)f(x)/f(y)=f(x-y). f(x+y)=f(x)·f(y),且f(1)=2,求f(2)/f(1)+f(3)/f(2)+...+f(2010)/f(2009) 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)满足f(1)=1/4 4f(x)f(y)=f(x+y)+f(x-y) (x ,y属于R)则 f(2010)=? f(x+y)=f(x)*f(y)说明什么? f(x+y)=f(x)+f(y)+2xy y=f(x), f(x+y)+f(x-y)=2f(x)f(y) 求证：f(0)=1 f(x)=y满足f(xy)=f(x)+f(y)求f(1),f(-1) f(x)连续且可导,并且f(x+y)=[f(x)+f(y)]/[1-f(x)f(y)],求f(x) 给出下列三个等式:f(xy)=f(x)+f(y),f(x+y)=f(x)f(y)给出下列三个等式:f(xy)=f(x)+f(y),f(x+y)=f(x)f(y),f(x+y)=f(x)+f(y)/1-f(x)f(y),下列函数中不满足其中任何一个等式的是()A.f(x)=3^xB.f(x)=sinxC.f(x)=log2xD.f(x)=tanx要解析 已知函数f(x)满足：f(1)=1/4,4f(x)f(y)=f(x+y)+f(x-y),则f(2015)=