Question

What does f''(5)=10 tell you about a graph if f'(5)=0?

Answer 1

f'(5)=0 ----> at x=5 there is a maximum OR a minimum

f''(5)=10 >0 --> it is a maximum

Answer 2

OK then this is one of thoes exceptions, because the graph is concave up when x<10 and the graph contains 10,5

Answer 3

not sure how 5, 10 can be a maximus

Answer 4

let me lay out the conditions and you can tell me where i am messing up

Answer 5

sorryyyy my bad...
it is a minimum
when f'' is positive we have a minimum

Answer 6

f(10)=5
f'(5)=0
f''(5)=10
f''(x)<0 if x>10
f''(x)>0 if x<10