Question

@Loser66 @satellite73 @amistre64

Answer 1

it has a critical point where the derivative is zero
where is that?

Answer 2

at x?

Answer 3

at what NUMBER is the derivative zero?
i.e. for which x value ?

Answer 4

0

Answer 5

ok
and before that (for x values less than zero) is the derivative positive or negative?

Answer 6

negative!

Answer 7

???

Answer 8

sorry it is lagging a bit

Answer 9

when \(x=-8\) you are told \(f'(x)=5\) right?

Answer 10

yess

Answer 11

is 5 positive or negative?

Answer 12

hey

Answer 13

positive! @satellite73

Answer 14

so it would be B coreect? @satellite73

Answer 15

what are we talking about exactly

Answer 16

the derivative is positive to the left of zero
is the function going up or down?

Answer 17

up

Answer 18

@satellite73 PLEASE HELP ME!

Answer 19

@misty1212 could you please help me?!

Answer 20

HI!!

Answer 21

:)

Answer 22

for negative x values (numbers to the left of zero) the derivative is positive
that means the function is increasing
for positive x values the derivative is negative,
that means the function is decreasing

Answer 23

at x = 0 the derivative is 0, that makes it a critical point, where the tangent line is horizontal

Answer 24

that means at \(x=0\) the function has a relative maximum as per the picture