数学
:设f(x)和g(x)在负无穷到正无穷上有定义,且满足下列条件:(1)f(x+h)=f(x)g(h)+f(h)g(x)设f(x)和g(x)在负无穷到正无穷上有定义,且满足下列条件:(1)f(x+h)=f(x)g(h)+f(h)g(x);(2)f(x)和g(x)在x=0处可导,且f(0)=g'(0)=0,g(0)=f'(0)=1,求f'(x).不要用lim做啦!

2019-06-02

:设f(x)和g(x)在负无穷到正无穷上有定义,且满足下列条件:(1)f(x+h)=f(x)g(h)+f(h)g(x)
设f(x)和g(x)在负无穷到正无穷上有定义,且满足下列条件:(1)f(x+h)=f(x)g(h)+f(h)g(x);
(2)f(x)和g(x)在x=0处可导,且f(0)=g'(0)=0,g(0)=f'(0)=1,求f'(x).
不要用lim做啦!
优质解答
显然f(x)=sinx,g(x)=cosx 显然f(x)=sinx,g(x)=cosx
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