How will a graph look like if the coordinates are:
f(3)=1
f’(x) >0
f’’(x) <0
I know my starting point is (3,1) but I’m not sure if it would be increasing or decreasing or how to draw it.
Moved - Graphing
- Thread starter lulln
- Start date
f(3)=1
f’(x) >0
f’’(x) <0
I know my starting point is (3,1) but I’m not sure if it would be increasing or decreasing or how to draw it.
Steven G
Elite Member
- Joined
- Dec 30, 2014
- Messages
- 14,596
1st draw it using straight lines, no curves. That is just use the 1st derivative. It is the value of f'(x) that will tell you if the curve is increasing or not. How do you get that information from f'(x)??
After (lightly) drawing the straight lines you know want to put the correct concavity in. That is where the f"(x) comes into play. Wherever f"(x) > 0 then the curve is concave up and wherever f"(x)<0 the curve is concave down.
See what you can do with that.
After (lightly) drawing the straight lines you know want to put the correct concavity in. That is where the f"(x) comes into play. Wherever f"(x) > 0 then the curve is concave up and wherever f"(x)<0 the curve is concave down.
See what you can do with that.
