1. ## Antiderivatives: Graphically!!!

Using the graph of g' shown below and the fact that g(0) = 150, sketch a graph of g(x). Find the coordinates of all the critical points and inflection points of g.

(a) The critical points of g occur at what points?

(b) The inflection points of g occur at what points?

i need some help with this problem, i dont have trouble finding possible graphs for g(x) but finding the cooridinates gives me the most trouble, can anyone help me with this, thanks

mathlete

2. Originally Posted by mathlete
Using the graph of g' shown below and the fact that g(0) = 150, sketch a graph of g(x). Find the coordinates of all the critical points and inflection points of g.

(a) The critical points of g occur at what points?

(b) The inflection points of g occur at what points?

i need some help with this problem, i dont have trouble finding possible graphs for g(x) but finding the cooridinates gives me the most trouble, can anyone help me with this, thanks

mathlete
Since you know the deriative (The above graph) the critical point are when it is equal to zero. It's intercepts are (15,0) and (40,0)

Inflections points (zero's of the 2nd derivatie) we be the max and min points of the (first derivative) graph above
(10,-20) and (20,10)

I hope this helps.

They