Question

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Answer 1

I got f '(c)=3

Answer 2

The mean value trm?

Answer 3

yes, you are correct

Answer 4

thank you!

Answer 5

let me check...

The slope is:
[ f(-1) - f(4) ] / [-1 - 4] = [-3-12] / [-5] = 3

Answer 6

yes the slope is 3.

Answer 7

The correct wording is that the function is differentiable on (-1,4), --technicality.

Answer 8

because the endpoints themselves are not differentiable (they don't have instantaneous slope).

So should have sais:
Continuous over [-1,4], and differentiable over (-1,4)

Answer 9

In any case, you did a good job solving it!