IB MAI HL Calculus Topic 5.1 Differentiation (id: bb5df7e36)

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 functio:6se1oldap8n+-gn1t snnd w rde y8+)n f(e0dtf 99 fwd)nx)=$\frac{1}{2x}$ + $\frac{x^4}{8}$ - 1.625 , x≠=0.
1.Find f′(x)=-$\frac{1}{ax^2}$+$\frac{x^b}{c}$.
a=  , b=  , c=  .
2.Calculate f(1)=-  .

3.Find f'(1)=  .

4.Sketch the graph of f(x), for −3≤x≤3 and −3≤y≤7.

5.Draw the tangent line, A, to the graph of y=f(x) at the point x=1.

6.Find the equation of the tangent line A.

7.The graph of y=f(x) and the tangent line A have a second intersection at point K. Use your graphic display calculator to find the x-coordinate of K.
x$_k$=-  .

参考答案:
空格1: 2  空格2: 3  空格3: 2  空格4: 1  空格5: 0  空格6: 1.65 


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