设f(x)有任意阶导数且f✀(x)=f^2(x),则f^(n)(x)=

(n>2)
2025-06-28 13:59:31
推荐回答(1个)
回答1:

f'(x)=f^2(x)
f''(x)=2f(x)f'(x)=2f^3(x)
f'''(x)=6f^4(x)
......................
f^(n)(x)=n!(f(x))^(n+1)