设f在0到1上连续且可导,3*定积分上1/3下0e^(1-x^2)f(x)dx=f(1),证明存在t在(0,1)使f'(t)=2tf(t)
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![设f在0到1上连续且可导,3*定积分上1/3下0e^(1-x^2)f(x)dx=f(1),证明存在t在(0,1)使f'(t)=2tf(t)](/uploads/image/z/7014579-51-9.jpg?t=%E8%AE%BEf%E5%9C%A80%E5%88%B01%E4%B8%8A%E8%BF%9E%E7%BB%AD%E4%B8%94%E5%8F%AF%E5%AF%BC%2C3%2A%E5%AE%9A%E7%A7%AF%E5%88%86%E4%B8%8A1%2F3%E4%B8%8B0e%5E%281-x%5E2%29f%28x%29dx%3Df%281%29%2C%E8%AF%81%E6%98%8E%E5%AD%98%E5%9C%A8t%E5%9C%A8%280%2C1%29%E4%BD%BFf%27%28t%29%3D2tf%28t%29)
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