f(X+Y)=f(X)f(Y),且f(0)的导数存在,求证f `(x)=f(x)f `(0)
来源:学生作业帮助网 编辑:六六作业网 时间:2024/09/09 10:32:56
f(X+Y)=f(X)f(Y),且f(0)的导数存在,求证f`(x)=f(x)f`(0)f(X+Y)=f(X)f(Y),且f(0)的导数存在,求证f`(x)=f(x)f`(0)f(X+Y)=f(X)f
f(X+Y)=f(X)f(Y),且f(0)的导数存在,求证f `(x)=f(x)f `(0)
f(X+Y)=f(X)f(Y),且f(0)的导数存在,求证f `(x)=f(x)f `(0)
f(X+Y)=f(X)f(Y),且f(0)的导数存在,求证f `(x)=f(x)f `(0)
根据导数定义,f'(x)=[f(x+t)-f(x)]/t (其中t是趋向于0的一个x的小分割),则 f'(x)=[f(x)*f(t)-f(x)]/t=f(x)*[f(t)-1]/t
由题意可知:f(x)=f(x+0)=f(x)*f(0),则有f(0)=1
那么f'(x)=f(x)*[f(0+t)-f(0)]/t=f(x)*f'(0)
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)
数学题f(X)对一切x y都有f(x+y)=f(x)+f(y)f(X)对一切x y都有f(x+y)=f(x)+f(y)且x>0时,f(x)
已知f(x+y)=f(x)乘以f(y),且f(x)不等于0,证明f(x)>0
已知f(x+y)=f(x)f(y) 且f(x)不等于0 证明f(x)>0恒成立
已知函数f(x)满足f(x+y)+f(x-y)=2f(x)×f(y),且f(0)≠0,证明f(x)是偶函数
x,y属于R 且f(x)+f(y)=f(x+y)恒成立 当x>0,f(x)
x,y属于R 且f(x)+f(y)=f(x+y)恒成立 当x>0,f(x)
x,y属于R 且f(x)+f(y)=f(x+y)恒成立 当x>0,f(x)
已知:f(x+y)+f(x-y)=2f(x)*f(y),x.y取任何实数且f(0)不等于0,求证:f(x)为偶函数
已知F(X*Y)=F(X)+F(Y)定义域为(0,正无穷大)且是增函数,求证F(X/Y)=F(X)-F(Y)
恒有f(x+y)=f(x)f(y),且x>0时,0
f(X+Y)=f(X)f(Y),且f(0)的导数存在,求证f `(x)=f(x)f `(0)
f(x+y=f(x)f(y),且f(0)的导数存在,求证f`(x)=f(x)f`(0)
f(x+y)=f(x)·f(y),且f(1)=2,求f(2)/f(1)+f(3)/f(2)+...+f(2010)/f(2009)
f(x)对于任意正数x,y都有f(xy)=f(x)·f(y),且f(x)≠0,x>1时f(x)
f(xy)=f(x)+f(y),证明f(x/y)=f(x)-f(y)
y=f(f(f(x))) 求导
对于xy都有f(x+y)=f(x)+f(y)且x>0都有f(x)