f(x)在[0,1]上连续,在(0,1)内可导,且f(1)=0.求证:存在ξ∈(0,1),使f'(ξ)=-f(ξ)/ξ 简单的高数题…
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![f(x)在[0,1]上连续,在(0,1)内可导,且f(1)=0.求证:存在ξ∈(0,1),使f'(ξ)=-f(ξ)/ξ 简单的高数题…](/uploads/image/z/11685051-27-1.jpg?t=f%28x%29%E5%9C%A8%5B0%2C1%5D%E4%B8%8A%E8%BF%9E%E7%BB%AD%2C%E5%9C%A8%EF%BC%880%2C1%29%E5%86%85%E5%8F%AF%E5%AF%BC%2C%E4%B8%94f%281%29%3D0.%E6%B1%82%E8%AF%81%EF%BC%9A%E5%AD%98%E5%9C%A8%CE%BE%E2%88%88%EF%BC%880%2C1%29%2C%E4%BD%BFf%27%28%CE%BE%29%3D-f%28%CE%BE%29%2F%CE%BE+%E7%AE%80%E5%8D%95%E7%9A%84%E9%AB%98%E6%95%B0%E9%A2%98%E2%80%A6)
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f(x)在[0,1]上连续,在(0,1)内可导,且f(1)=0.求证:存在ξ∈(0,1),使f'(ξ)=-f(ξ)/ξ 简单的高数题…
f(x)在[0,1]上连续,在(0,1)内可导,且f(1)=0.求证:存在ξ∈(0,1),使f'(ξ)=-f(ξ)/ξ 简单的高数题…
f(x)在[0,1]上连续,在(0,1)内可导,且f(1)=0.求证:存在ξ∈(0,1),使f'(ξ)=-f(ξ)/ξ 简单的高数题…
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