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IB MAI HL Calculus Topic 5.1 Differentiation (id: 5c29bb6d6)

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admin 发表于 2024-2-8 07:34:42 | 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]
The function f is in 4(fa+lut1tvbqrxhb9 m ud)cv98 hl:7the folr ;w5 r4*ypfxhbpn s35lowing form, where p is a constant.
f(x)=x$^3$+px$^2$-9x-2
A part of the graph of the function y=f(x) is shown in the diagram below.

1.Write down the y-intercept of the graph.
Thus the y-intercept is
(0,−  ).
2.Find f′(x)=$ax^2+2px-9$, a=  .

The tangent line L to the graph y=f(x) at x=1 is parallel to the x-axis.

3.1Find:the value of p=  .;

3.2.the equation of line L.
y=-  .
4.Determine the coordinates of another point on the graph y=f(x), where the tangent line to the graph is parallel to the x-axis.

5.Write down the interval where the gradient of the graph of y=f(x) is negative.

6.Determine all the possible values of m, for which the equation f(x)=m has three solutions. Write down your answer using interval notation.m is (-  ,  )




参考答案:
空格1: 2空格2: 3空格3: 3空格4: 7空格5: 7空格6: 25


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