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).

Question

anonymous · Answer

https://gyazo.com/34449492be7bc0f0156af969966447b3

anonymous · Answer

@jim_thompson5910

jim_thompson5910 · Answer

I'm thinking they want you to use the mean value theorem to estimate the value of f ' (9)

anonymous · Answer

Never heard of that in my life.

anonymous · Answer

And this is my second time taking Calc

jim_thompson5910 · Answer

one second while I think

anonymous · Answer

No problem boss

jim_thompson5910 · Answer

ok I'm going to try something with the mean value theorem

anonymous · Answer

Ok

jim_thompson5910 · Answer

$$\Large f \ ' (9) \approx \frac{f(10) - f(8)}{10 - 8}$$

$$\Large f \ ' (9) \approx \frac{16 - 10}{10 - 8}$$

$$\Large f \ ' (9) \approx \frac{6}{2}$$

$$\Large f \ ' (9) \approx 3$$


but none of the answer choices match that. But I guess it could easily be D

anonymous · Answer

I went ahead and put D. Thanks