Question

please help, picture included

Answer 1

HI!!

Answer 2

hello

Answer 3

for the first one, check if \(f'(2)=-8\)

Answer 4

it does not

Answer 5

which i didn't check but i really doubt it is true

Answer 6

ok then I is wrong

Answer 7

for the second one, check if \(f'(x)>0\) on \((1,4)\)

Answer 8

i can plug that into the calculator right/

Answer 9

you can pretty much do it with your eyeballs

Answer 10

it is not great then zero

Answer 11

the denominator is always positive
oh actually just plug in a number between 1 and 4 in to \(f'\) and see if the output is positive or negative

Answer 12

no, it is negative on that interval so II is wrong

Answer 13

i guess that leaves III which is true, because the derivative goes from being negative to positive at 4, so the function goes from decreasing to increasing, so 4 gives a relative min

Answer 14

wow thank you!

Answer 15

Also at x=4
f'(x)=0 so it may be minimum.