本题目来源于试卷: Differential Calculus，类别为 IB数学
[问答题]
Consider the functio(kug umkcc8/z cpy6l+ic owr*7j/98 vvp :j2 gn587ar1mu khl: vvwfx/v0gjd4u3nbm zf( l4 r; $f(x)=\frac{a e^{-x}}{b-a e^{-x}}$ where $\lt 0, b\lt0$ .
1. Show that $ f^{\prime}(x)=\frac{-a b e^{-x}}{\left(b-a e^{-x}\right)^{2}} $.
2. Explain why $f^{\prime \prime}(x)$ is never zero.
3. Find the equation of:
1. the vertical asymptote of f ;
2. the horizontal asymptote of f .
4. Draw a sign diagram for $f^{\prime}(x)$ .
5. If a=3 and b=1 ,
1. sketch the graph of f labelling all asymptotes;
2. find the area of the region enclosed by f , the x and y axes and the line $x=\ln 2 $.
参考答案: 
本题详细解析:
暂无
| 
