Given: A graph showing point A, B, and C
To Determine: The nature at f, f', and f''
Solution
[tex]f=negative[/tex]
At turning point, the first derivative is zero. Therefore
[tex]f^{\prime}=Zero[/tex]
The minimum point is the test for the second derivative. Hence, the second derivative is
[tex]f^{\prime\prime}=Positive[/tex]
In Summary
f = negative
f' = zero
f'' = positive
