hey guys, um i need help understanding graphs (1 Viewer)

[red802]

hey i got problem finding out differentiating graphs, how can i find out y=f(x) from y=f'(x) and y=f''(x) and vice versa, can some tell me how to find out how to draw the graph

 

[SoulSearcher]

This thread should help you:

http://community.boredofstudies.org/12/mathematics/112189/problem-applications-calculus.html

 

[redruM]

OK, its been a while, but I'll take a crack at it.

Going from f'(x) to f(x).
- Any point f'(x) = 0, f(x) has a turning point.
- Where f'(x) > 0 (above the x-axis), the slope on f(x) graph will be "going up", left to right. Conversely, when f'(x) < 0, the slope on f(x) graph will be "going down", as the gradient (f'(x) is the gradient) is negative.
This should get you started, I think. Use the same principles to go from f''(x) to f'(x) (and then f(x), if neccessary).

Also, when f'(x) = 0, and is a turning point; ie- f'(a) = 0 and f''(a) = 0, then f(a) is a point of inflexion.

Lastly, I don't think your y-intercept will matter in some occassions. They may give you more information, in that regard.

Like I said, it has been a while. So, maybe someone will correct me if I have made a mistake.