题库网
#52dff2ed-e055-419b-83fe-2cb603e4b3b0中等解答题导数压轴题常见模型导数及其应用

36.已知函数f(x)=exxf(x)=\frac{e^x}{x}. (Ⅰ)求f(x)f(x)的图象在点(1(1ff(1)))处的切线方程; (Ⅱ)求证:当x0x\ne 0时,1xf(x)>1x\frac{1}{xf(x)}>1-x