1. ## T/F Calculus Question

If ƒ′(x) has a max value at x = c, then the graph of ƒ(x) has a point of inflection at x = c.

i got false

2. Correct, you need more information to determine the nature of the turning point at $x=c$

3. Originally Posted by ilovemymath
If ƒ′(x) has a max value at x = c, then the graph of ƒ(x) has a point of inflection at x = c.

i got false
If $f'(x)$ has a maximum at $x=c$, then what does that say about $f''(x)?$