f(x)=(x+1)(x+2)"""(x+2018),求f(x)在一阶导x=0

2025-05-09 08:04:44
推荐回答(1个)
回答1:

f(x)=e^[ln(x+1)+ln(x+2)+...+ln(x+2018]
f'(x)=e^[ln(x+1)+ln(x+2)+...+ln(x+2018]*[1/(1+x)+1/(x+2)+...+1/(x+2018)]
=(x+1)(x+2)"""(x+2018)*[1/(1+x)+1/(x+2)+...+1/(x+2018)]
f'(0)=2018!*(1+1/2+1/3+...+1/2018)