Question

HELP

Answer 1

and your thoughts?

Answer 2

the first one may be true, but it may be almost true. we tend to try to remember things simply and fall into a false sense of security.

f' = 0 gives us critical points to test but may not actually give a min or max is what i recall. can you think of an example?

Answer 3

x^3 is my example.

Answer 4

3x^2 = 0 is not a min or a max, but its a testable point

Answer 5

a better test for min and max is to apply f''

6x gives us a better view and shows us its an inflection point

Answer 6

oh wait so that means the second one is true also

Answer 7

the second one is too verbose for me to decipher :)

Answer 8

if f'(x) = 0 for all x in [a,b], then yeah, f is constant but its not written like that to me and i may be misinterpreting the infor

Answer 9

as for the third one, what are the criteria for MVT

Answer 10

@ganeshie8

Answer 11

i dont know

Answer 12

your material doesnt cover MVT?

Answer 13

i dont get your question, it;s one thing

Answer 14

the third part, its asking about MVT, mean value thrm. so in order to determine if its true or not, it has to meet the requirements for the MVT