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Integral Calculus (id: 7addf5a9b)

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admin 发表于 2024-7-31 23:12:23 | 显示全部楼层 |阅读模式
本题目来源于试卷: Integral Calculus,类别为 IB数学

[问答题]
$\text { Consider a function with domain } a


From the graph above p, 0 and s are x -intercepts of $f^{\prime}$ , and there is a local minimum at x=q and a local maximum at x=r .
1. Find all the values of x where the graph of f is increasing. Justify your answer.
2. Find the value of x where the graph of f has a local minimum. Justify your answer.
3 . Find the value of x where the graph of f has a local maximum. Justify your answer.
4. Find the values of x where the graph of f has points of inflexion. Justify your answer.

The total area of the region enclosed by the graph of $ f^{\prime}$ and the x -axis between x=p and x=s is 25 .
5. Given that f(p)+f(s)=13 , find the value of f(0) .




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