# calculus homework help... sketching a graph of f

• Nov 12th 2012, 07:00 PM
asilvester635
calculus homework help... sketching a graph of f
The figure shows the graph of f" . Sketch agraph of f. (The answer is not unique.
Attachment 25679
• Nov 12th 2012, 07:09 PM
jakncoke
Re: calculus homework help... sketching a graph of f
How about $f(x) = 3x^2 - \frac{x^3}{3}$

$f'(x) = 6x - x^2$

$f''(x) = 6 - 2x$ which is the graph in ur picture
• Nov 12th 2012, 07:13 PM
MarkFL
Re: calculus homework help... sketching a graph of f
Quote:

Originally Posted by jakncoke
How about $f(x) = 3x^2 - \frac{x^3}{3}$

$f'(x) = 6x - x^2$

$f''(x) = 6 - 2x$ which is the graph in ur picture

I don't think the OP is supposed to use integration of obtain a member of the family of curves, but rather to use the implications of the given graph. Also, this topic has been posted twice.
• Nov 17th 2012, 06:41 PM
asilvester635
Re: calculus homework help... sketching a graph of f
jakncoke how did you get f(x) = 3x^2 - x^3/3?