大一高数微积分基本问题
写出过程和公式说明,谢谢
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第1个回答 2018-11-27
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大一高数微积分题,谢谢答:设g(x)=f(x)*e^x,g'(x)=f'(x)*e^x+f(x)*e^x=[f'(x)+f(x)]*e^x 则g(x)在闭区间[a,b]上连续,在开区间(a,b)内可导 且g(a)=f(a)*e^a=0,g(b)=f(b)*e^b=0,由拉格朗日中值定理知,存在ξ,ξ∈(a,b),使得g'(ξ)=0.即[f'(ξ)+f(ξ)]*e^ξ=0,而...