Question

The function f is continuous on the interval [3, 11] with some of its values given in the table below. Use the data in the table to approximate f’(9).

Answer 1

Given:

The function f is continuous on the interval [3, 11].

Required:

to find the approximate value f'(9).

Step-by-step explanation:

The function f(x) is continuous on [3,11].

So

`\begin{gathered} f^(\prime)(9)=(f(10)-f(8))/(10-8) \\ \\ =(16-10)/(2) \\ \\ =(6)/(2) \\ \\ =3 \end{gathered}`

Final Answer:

`f^(\prime)(9)=3`