Question

Can someone please help me with this math problem

Answer 1

g'(4) = - 1/2

Answer 2

ok I got that answer too

Answer 3

because the derivative of a linear function is its slope.

Answer 4

ok

Answer 5

what did you get for h'(6)

Answer 6

I am not sure. What did you get?

Answer 7

I got 1.5

Answer 8

How did you do it?

Answer 9

I got it bylooking at the graph I;m not sure if it is right or not

Answer 10

derivative is slope of tangemt.
also, remember that at maxima or minima, that slope is "0"

Answer 11

g(x) is maximum at x=4

Answer 12

we already figered out that g'(4)=-.5

Answer 13

for the other two, get the equation of f(x)
and g(x) has two equation

Answer 14

no. g'(4)=0

Answer 15

@electrokid

Explain

Answer 16

oh ok I guess I don't understand how to do the problem can you help

Answer 17

@farmergirl411 I do not understand how you can possibly get "-.5"!

Answer 18

scroll up a bit and you se my explanation for g'(4)

Answer 19

@electrokid the formula for the line is f(x) = -1/2x + c
so its derivate is going to be -1/2

Answer 20

@Boblovesmath you gave the answer for f'(4) ... not g'(4)

Answer 21

Oh okay, I am sorry

Answer 22

@Boblovesmath guys, you are confusing the heck off the kids!! lol

Answer 23

dude do you know how to get the equation for g(x). I know it is abosulte value.

Answer 24

@farmergirl411 ok, so, now, put the equations for f(x) and g(x) please.

Answer 25

ok I can't get I keep messing it yup can you explain it too me.

Answer 26

\[
g(x)=x,\quad\forall\,0\le x\le4\\
g(x)=8-x,\quad\forall\,4\le x\le8\\
\]

Answer 27

oh ok I had 8+x so I was sort of close

Answer 28

now, h(x)... around x=6::
\[h(x)=-{8-x\over2}+4\]
so, the slope now is..?

Answer 29

I got -1

Answer 30

remember, is a function decreases, slope (in fact, its derivative) is negative..

Answer 31

no, h'(6)=-1/2=-0.5

Answer 32

@electrokid Kisses bro

Answer 33

@Boblovesmath no thank you.

Answer 34

oh sorry I forgot to type the 2 I had that

Answer 35

ok.. similarly, go for the m(x).. remember that there, x<4

Answer 36

@Boblovesmath you can use absolute value thingy but I personally like to keep things simple and use as much less brain as I can

Answer 37

does m'(2)=0.5

Answer 38

I did not do it. but if you can show your m(x), I can tell

Answer 39

@farmergirl411 remember the "cube" part....

Answer 40

@farmergirl411 c'mon, poke.. poke