Differential Calculus (id: 6248513ca)

本题目来源于试卷: Differential Calculus，类别为 IB数学

[问答题]
Let $f(x)=k x^{3}$ .
1. Show that the point $\mathrm{P}(2,8 k)$ lies on the curve of f .

At P , the normal to the curve is parallel to $y=\frac{1}{6} x $.
2. Find the value of k .

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