设fx在ab上连续在ab内可导

设fx在ab上连续在ab内可导 设fx在ab上连续在ab内可导且fafb>0,f(a)f((a+b)/2)

令 G(x) = f(x) * e^(-λx) ,G(x)在【a,b】上连续,（a,b）可导,且 G(a) = G(b) = 0 G(x)在【a,b】上满足罗尔中值定理,至少存在一点 c ∈(a,b),使得 G'(c) = 0 即有 f '(c) = λf(c) 成立.

设fx在ab上连续在ab内可导且fa=0,证明存在属于(a,b),使f(s)=b-s/al*f'