Graphing Derivative

[unique fossil]

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[jade fable]

Which one do u have a problem with mari

Mark

@terse pivot

[terse pivot]

question 14

@jade fable

[jade fable]

Both parts of it?

[terse pivot]

yes please

[jade fable]

Alr

https://media.discordapp.net/attachments/1356042530399191253/1356042531216949369/IMG_1684.jpg?ex=67eb2085&is=67e9cf05&hm=8719c6b42cd950862dba4f2d36a3915ea4f4bdec0277c12cd6793b393b5eb2c7&

[terse pivot]

ty😭 🙏

[jade fable]

Soo

The derivative gives u information on the rate of change

Or the slope at a point of the graph

[terse pivot]

can u sketch it for me please

and help answer part a pls

[jade fable]

Uhhh I'm on my phone

So I'll tell u what to do

[terse pivot]

ok tysm

[jade fable]

See the points where the f'(x) graph hits the x axis are the critical points

They correspond to maxima or minima

To know if it's a maxima or minima

[terse pivot]

yes

[jade fable]

Look at how it changes around it

It if it's U shaped or like concave upwards

Then the derivative increases and then decreases

Sorry

Decreases then increases

What do u think that corresponds to

[terse pivot]

idk man

[jade fable]

I see

Okay

[terse pivot]

can u help me answer 14a pleaseeeeee

[jade fable]

So think of it like this

Yes I'm doing that

[terse pivot]

ty

i need to hand this in a 30 min sry if im rushing u

[jade fable]

Like you want me to tell u just the answers or you want to know what's going on

Oh ok

[terse pivot]

yes pleaseee 😭

[jade fable]

so at x=3 f(x) has a maxima, x=1 f(x) has a minima

x=3 f'(x) is decreasing f(x) has maxima

[terse pivot]

ok i see what do i write for key feature on f'(x) and the part corresponding key feature on f(x)

[jade fable]

x=1 f'(x) is increasing f(x) has a minima

I wrote it in that order

[terse pivot]

ok tysm

can i send a pic to make sure

[jade fable]

Yes

[terse pivot]

also should it be x=-1?

[jade fable]

no?

[terse pivot]

ok

is this right?

[jade fable]

Yea

[terse pivot]

ok ty

[jade fable]

Oh add local minima

And local maxima

Instead of minimum and Maximum

In the third col

[terse pivot]

got it

how should i graph it??

[jade fable]

Okay so uhh wait

[jade fable]

Oh josh make it -3

Instead of 3

Is that what you were saying before

[terse pivot]

Ok

Like this?

How should I graph it

[terse pivot]

ok tysm 😭 i rly appreaite the help

[jade fable]

Yeah and it dips and roses around the points where x axis is hit in the f'(x) graph

I couldn't draw the entire thing

Cause I'm on phone

Anyways gl

[terse pivot]

wait wdym

[jade fable]

Oh like

Okay fine let me make another attempt at a more accurate drawing

[terse pivot]

tyty

[terse pivot]

Is this right