IB MAI HL Calculus Topic 5.1 Differentiation (id: 229564f34)

本题目来源于试卷: IB MAI HL Calculus Topic 5.1 Differentiation，类别为 IB数学

[填空题]
The equation of a cu:si(w yv/ t7; cpx7bxvcs4n+bfnc1:+zvmxz9by -ra t y. 4w1jrve is y=-x${}^2$ +8x -12.A section of the curve is shown on the diagram below, with the two x-intercepts labelled.

1.Find $\frac{dy}{dx}$.
$\frac{dy}{dx}$=-ax+b ; a=  , b=  .
2.Write down the coordinates of the local maximum.
the local maximum is located at (x, y) ; x=   , y=  .
3.Write down an integral representing the area of the shaded region.
its area is determined by A=${\int }_2^6(-x^2+ax-b)dx$, a=  , b=  .
4.Find the area of the shaded region.
A=$\frac{a}{b}$, a=   , b=   .

参考答案:
空格1: 2  空格2: 8  空格3: 4  空格4: 4  空格5: 8  空格6: 12  空格7: 32  空格8: 3 


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