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Differential Calculus (id: 1ff3c9f22)

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admin 发表于 2024-7-30 22:05:31 | 显示全部楼层 |阅读模式
本题目来源于试卷: Differential Calculus,类别为 IB数学

[填空题]
Consider the curve db1nzs*7ti mc(efine mwl*lo-d um s/j/y.6dd by the equation $x^{5}+y^{5}=5 x^{2} y$ .
1. Show that $\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{2 x y-x^{4}}{y^{4}-x^{2}}$ .  

The normal to this curve is parallel to the y -axis at the point where x=h, h>0 .
2. Find the value of h , giving your answer correct to two decimal places. ≈  




参考答案:
空格1: (2*x*y-x^4)/(y^4-x^2)空格2: 1.47±2%


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