Need Calculus Help!

[victoria116]

How do you draw a graph of f' just by seeing f? or the other way around? for my test tmr, my teacher will give us one of each and we have to draw the other. any help is appreciated.

thanks!

 

[notfred]

Each point on f' is dictated by the slope of f at that point. If f is flat, f' is 0. if f is a 45 degree angle, f' is 1. if f is vertical then f' would be infinity.

 

[CrackaLackaZe]

f' is just the rate at which f changes

 

[victoria116]

does anyone know what a horizontal tangent is?

 

[CrackaLackaZe]

horizontal tangent is where f'(x) = 0