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IB MAI HL Calculus Topic 5.1 Differentiation (id: 5fa75ee2c)

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admin 发表于 2024-3-13 20:54:12 | 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]
A function, f , is giv-* x3piwcm x pq uzo-:fkkq+e92 n;g7denjv9zwx4 1qre 0 by

f(x)=$\frac{1}{3} \cdot 2^{-2 x}+\frac{1}{2} x-1$ .

1. Calculate f(-2)=$frac{a}{b}$ ; a=  ,b=   .
2. Use your graphic display calculator to solve f(x)=0 .
3. Sketch the graph of y=f(x) for $-2 \leq x \leq 5$ and $-1 \leq y \leq 4$ . Clearly label the coordinates of the x and y intercepts.

The function f is the derivative of the function g . It is known that g(0)=1 .
4. 1. Calculate $g^{\prime}(0)$=-$\frac{a}{b}$ ; a=  ,b=   . .
2. Find the equation of the tangent of the graph of y=g(x) at the point (0,1) . Give your answer in the form y=m x+c ;m=-$\frac{a}{b}$;a=  ,b=  ,c=  




参考答案:
空格1: 10空格2: 3空格3: 2空格4: 3空格5: 2空格6: 3空格7: 1


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