本题目来源于试卷: Differential Calculus，类别为 IB数学
[问答题]
The curve C is defined by the equatiokdpt-/2sbr v(;prln4n e3 k7gn nl8aj08/np h z$y^{2}+4 x y+e^{x}=10$ . The point $ \mathrm{P}(0, b)$ lies on C where b$\lt$0 .
1. Find the value of b .
2. Show that $\frac{\mathrm{d} y}{\mathrm{~d} x}=-\frac{4 y+e^{x}}{2 y+4 x}$ .
3. Find the equation of the normal to C at the point P .
4. Find the coordinates of the second point at which the normal found in part (c) intersects C .
5. Given that $ u=y^{4}$, y$\lt$0 , find $\frac{\mathrm{d} u}{\mathrm{~d} x} $ at x=0 .
参考答案: 
本题详细解析:
暂无
| 
