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Exponent-Log Functions (id: e0960bd24)

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admin 发表于 2024-6-14 18:00:43 | 显示全部楼层 |阅读模式
本题目来源于试卷: Exponent-Log Functions,类别为 IB数学

[问答题]
Consider the functioq3puri 2hh6(gfwggm0 dju ),,3adt * xg 9fwi46eex5 nn defined by $f(x)=(2 x-6) \ln (x+3)+x $ for $x \in \mathbb{R}$, x>p .
1. Find the value of p .
2. Find an expression for $f^{\prime}(x)$ .

The graph of y=f(x) has no points of inflexion.
3. Determine if the graph of y=f(x) is concave down or concave up over its domain.

The function g is defined by $g(x)=3 \ln \left(\frac{1}{x+3}\right)+x$ , for $x \in \mathbb{R}$, x>-3 .
4. Find an expression for $g^{\prime}(x)$ .
5. Find the horizontal and vertical asymptotes of $g^{\prime}(x)$ .
6. Find the exact value of the minimum of y=g(x) .
7. Solve f(x)-3$ .




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