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IB MAI HL Calculus Topic 5.1 Differentiation (id: 67021fcf6)

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admin 发表于 2024-3-5 20:50:37 | 显示全部楼层 |阅读模式
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]
Consider the graph o,jn 2llkemk- v :-7)bmtby+sk f the ve .vdd 5zf,v:function f(x)= -x$^3$ +3x$^2$ +1.

1.Label the local minimum as A on the graph.

2.Label the local maximum as B on the graph.

3.Write down the interval where f′(x)>0.a , b=  .

4.Draw the tangent to the curve at x=−1 on the graph. we get the tangent passes through the coordinate (-  ,   ) and is parallel to the graph at this point.

5.Write down the equation of the tangent at x=−1.
Hence, the equation of the tangent at x=−1 is y=-ax-b, a=  , b=  .




参考答案:
空格1: 0空格2: 2空格3: 1空格4: 5空格5: 9空格6: 4


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