Differential Calculus (id: 955602bc6)

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

[填空题]
$\text { Let } f(x)=x^{2}-3 x+2 \text {, for } x \in \mathbb{R} \text {. The following diagram shows part of the graph of } f \text {. }$



The graph of f crosses the x -axis at the point $\mathrm{P}(1,0)$ and at the point $\mathrm{Q}(2,0)$ .
1. Show that $f^{\prime}(1)=-1$ .

The line L is the normal to the graph of f at P .   
2. Find the equation of L in the form y=m x+c .   

The line L intersects the graph of f at another point R , as shown in the following diagram.



3. Find the x -coordinate of R .   
4. Find the area of the region enclosed by the graph of f and the line L . y =   

参考答案:
空格1: -1±2%  空格2: x-1  空格3: 3±2%  空格4: 4/3±2% 


本题详细解析:

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