f(x)是定义在R上的可导函数,且f'(x)>f(x),对任意正数a,下面成立的是( )A.f(a)<e^a f(0) B.f(a)>e^a f(0) C.f(a)<f(0)/e^a D.f(a)>f(0)/e^a 求函数f(x)=ln根号下(1+x^2)/(1-x^2)的单调区间.
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![f(x)是定义在R上的可导函数,且f'(x)>f(x),对任意正数a,下面成立的是( )A.f(a)<e^a f(0) B.f(a)>e^a f(0) C.f(a)<f(0)/e^a D.f(a)>f(0)/e^a 求函数f(x)=ln根号下(1+x^2)/(1-x^2)的单调区间.](/uploads/image/z/7197154-34-4.jpg?t=f%28x%29%E6%98%AF%E5%AE%9A%E4%B9%89%E5%9C%A8R%E4%B8%8A%E7%9A%84%E5%8F%AF%E5%AF%BC%E5%87%BD%E6%95%B0%2C%E4%B8%94f%26%2339%3B%28x%29%26gt%3Bf%28x%29%2C%E5%AF%B9%E4%BB%BB%E6%84%8F%E6%AD%A3%E6%95%B0a%2C%E4%B8%8B%E9%9D%A2%E6%88%90%E7%AB%8B%E7%9A%84%E6%98%AF%EF%BC%88+%EF%BC%89A.f%28a%29%26lt%3Be%5Ea+f%280%EF%BC%89+++B.f%28a%29%26gt%3Be%5Ea+f%280%EF%BC%89++C.f%28a%29%26lt%3Bf%280%29%2Fe%5Ea+++D.f%28a%29%26gt%3Bf%280%29%2Fe%5Ea++%E6%B1%82%E5%87%BD%E6%95%B0f%28x%29%3Dln%E6%A0%B9%E5%8F%B7%E4%B8%8B%281%2Bx%5E2%29%2F%281-x%5E2%29%E7%9A%84%E5%8D%95%E8%B0%83%E5%8C%BA%E9%97%B4.)
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f(x)是定义在R上的可导函数,且f'(x)>f(x),对任意正数a,下面成立的是( )A.f(a)<e^a f(0) B.f(a)>e^a f(0) C.f(a)<f(0)/e^a D.f(a)>f(0)/e^a 求函数f(x)=ln根号下(1+x^2)/(1-x^2)的单调区间.
f(x)是定义在R上的可导函数,且f'(x)>f(x),对任意正数a,下面成立的是( )
A.f(a)<e^a f(0) B.f(a)>e^a f(0) C.f(a)<f(0)/e^a D.f(a)>f(0)/e^a
求函数f(x)=ln根号下(1+x^2)/(1-x^2)的单调区间.
f(x)是定义在R上的可导函数,且f'(x)>f(x),对任意正数a,下面成立的是( )A.f(a)<e^a f(0) B.f(a)>e^a f(0) C.f(a)<f(0)/e^a D.f(a)>f(0)/e^a 求函数f(x)=ln根号下(1+x^2)/(1-x^2)的单调区间.
1.f(x)e^-x的导数是e^-x(f(x)-f'(x))
(1),令F(x)=f(x)/e^x,对其求导,你应该会有发现
可以用特殊法
令F(x)=f(x)/e2.对其求导结合题目已知条件可得出F(x)是增函数。所以F(a)>F(0),由此选答案B.