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Mathematics 20 Online
OpenStudy (wade123):

PLEASE HELP ME WITH A CALC QUESTION! MEDAL FAN AND TESTIMONIAL!!

OpenStudy (freckles):

if f'>0 then f is increasing if f'<0 then f is decreasing --- all I was trying to get you to see is R looks like it is increasing so so R' ________ BUT I would like to add something after this...IT looks like R is increasing...There is no way to tell what is going in between t=0 to t=2 or t=2 to t=3 or t=3 to t=7 or t=7 to t=8. For all we know R' could be 0 there because maybe for some interval on t there might be a little constant function happening...

OpenStudy (freckles):

that was a black up there for you to fill the blank I'm still trying to get you fill in from yesterday

OpenStudy (freckles):

blank*

OpenStudy (wade123):

it would be decreasing?

OpenStudy (freckles):

use the fact if f'>0 then f is increasing if f is increasing then f'>0

OpenStudy (wade123):

oh increasing

OpenStudy (freckles):

positive

OpenStudy (freckles):

>0

OpenStudy (freckles):

the derivative tells us if the original function is increasing or decreasing

OpenStudy (freckles):

if the derivative is positive then the original is increasing if the derivative is negative the the original is decreasing

OpenStudy (freckles):

but I hope you understand that THE function only looks this way it doesn't mean it is

OpenStudy (freckles):

like for example we have no idea what is going on the interval (3,7)

OpenStudy (freckles):

like maybe our function looks like this: |dw:1421852892637:dw|

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