Question

average rate of change

Answer 1

what is the value of the average rate of change of f on [2, 5] ?

Answer 2

is that the derivative?

Answer 3

no, it's not ..
\(\large \frac{f(5)-f(2)}{5-2} \) =

Answer 4

oh just slope

Answer 5

yes.. slope.

Answer 6

but you have to find a c in [2, 5] such that the the derivative at c equals the slope...
you're doing the Mean Value Theorem....

Answer 7

which gives you 1.305 correct?

Answer 8

lemme check..

Answer 9

yes... 1.305

Answer 10

but that's not the answer to the question....

Answer 11

then what do you do?

Answer 12

woudl the answer be 3.274?

Answer 13

do you have the derivative of f?

Answer 14

because you take the derivative then set it equal to 1.305

Answer 15

yes 1 + 1/x

Answer 16

yeah... that's what u do...

Answer 17

1 + 1/x = 1.305 then solve to get 3.27

Answer 18

and yeah.. c is about 3.27 but in exact form, c = \(\large \frac{3}{ln5-ln2} \)

Answer 19

ok