implicit diff

[blazing mulch]

did u do part a?

i dont understand how can they get from sincostan to just x

did they mention anything about small angle?

wait nvm y is a small angle i assume because it given a range there?

prob something do with small angle approximation

yk somehow i ended up with -(sin2x)/x

[lethal sky]

how tf do u do small angle approximation on it though

bc tan y is just y..

[blazing mulch]

yahh

[lethal sky]

oh

[blazing mulch]

and sin y = y

[lethal sky]

so x^2y = 9

[blazing mulch]

but we need sin x or like tan x instead

WAIT

YOU GOT THE POINT

[lethal sky]

so 9/x^2 = y

[blazing mulch]

let me try it again

[lethal sky]

so dy/dx

9x^-2

[lethal sky]

NO I DONT

[blazing mulch]

yes you do

maybe we need to try submit the small angle approx at the first place

[lethal sky]

that's just -18x^-3

or am i meant to rewrite it as sin/cos

[blazing mulch]

still giving me this one

[lethal sky]

i'm so confused

[blazing mulch]

is that the whole question?

[blazing mulch]

why

[dusky cedar]

Differentiate it again and make it equal to 0

[lethal sky]

it's to show x^2tany = 9 dy/dx is -18x/c^4 + 81

[blazing mulch]

why

[dusky cedar]

It’s asking for a point of inflection

[blazing mulch]

we are doing part a

[lethal sky]

can't do part b without part a dumbfuck @dusky cedar

[dusky cedar]

Yo no need to be disrespectful

[blazing mulch]

😭

[lethal sky]

help on part a or don't

[blazing mulch]

i think they square both side

thats where they get the x^4 and 81

the only way i can see to obtain those 2 values

@modest elbow

[dusky cedar]

I think I got it

Rearrange for tan(y)

[blazing mulch]

right

[dusky cedar]

Substitute to get your 9/x

[lethal sky]

what

so tan y = 9/x^2

[dusky cedar]

Ye

Then

[modest elbow]

Ye

[lethal sky]

now what

[blazing mulch]

right?

[lethal sky]

oh so i was going down the right path afterall

[blazing mulch]

idk but yes

i still dk where did they get x^4+81

[dusky cedar]

x^2 = 9/tan(y)

[modest elbow]

This some long ass 4 marker

Anyway

Differentiate implicitly first

[blazing mulch]

where is that gonna be useful

[dusky cedar]

The -x^2 sec^2(y) bit

[modest elbow]

Then rearrange for dy/dx

Then use sec identity

That’s how I’d do it anyway

[blazing mulch]

oh

[lethal sky]

idk how to do it still

[dusky cedar]

-9cot(y) x sec^2(y)

[blazing mulch]

for the denominator right

[dusky cedar]

Ye

[lethal sky]

that's so much more complicated

[modest elbow]

Yh ngl

Would not do it that way

What did u get when u implicitly differentiated

And rearranged for dy/dx

[modest elbow]

Is that dy/dx?

[blazing mulch]

yes

[modest elbow]

What

Hold on

Oh nvm I see it

Yh ok

[dusky cedar]

18x

[modest elbow]

Yk tan y = 9/x^2

[blazing mulch]

ok

[modest elbow]

And yk the sec identity

[blazing mulch]

without taking the x out

[blazing mulch]

?

[lethal sky]

differntial of tan y is sec^2 y dy/dx

[blazing mulch]

wait

chew

[modest elbow]

Sec^2y = 1+tan^2y

[blazing mulch]

wait

wait

[lethal sky]

so 1/cos^2 y(dy/dx)

[blazing mulch]

BRO

put spoiklter

thats why i said wait

😭

[modest elbow]

Oops

Sorry

That’s the sec identity tho

[lethal sky]

THIS IS MY QUESTION NOT URS

[modest elbow]

Anyway I’ll get my lazy ass up and do it

I’ll put spoiler

[blazing mulch]

but its fun to do it

😭

im your competition

rmb?

[lethal sky]

ohyh

btw @blazing mulch

if u see me writing my phone number on my maths exam papers

look the other way

im trying to get an A

[blazing mulch]

LOL

work smart not hard

fr

oh yah idk wheres my phone

so i didnt check your message

[lethal sky]

wdym

do u not do snap streaks or something

[blazing mulch]

idk where did i put my phone

[lethal sky]

😭

its ok

[blazing mulch]

yes i do

[lethal sky]

ill forgive u this once

[blazing mulch]

i went back from driving

[lethal sky]

keyword(s): this once

[blazing mulch]

and forgot where it is

[lethal sky]

omg u drive??

[blazing mulch]

ill find it later

yes

[lethal sky]

can u take me to the operation ouch science museum pls

[blazing mulch]

to where

lets go coldplay concert

[lethal sky]

no ew

[blazing mulch]

wdymm

[lethal sky]

lets go to one direction concert

[blazing mulch]

no stop one direction reminds me of those year 6 lunchboxes

its ptsd when i first moved here

[lethal sky]

NO ITS NOT

1d is my first love

[modest elbow]

Mik

[blazing mulch]

my first love was a real person

yk

[modest elbow]

🤥

[lethal sky]

uyka

[lethal sky]

ok so watch me rizz ur mum rn

[blazing mulch]

rizz me instead

[blazing mulch]

😔

[blazing mulch]

who r u

[lethal sky]

literally fuck off

[blazing mulch]

that aint implict differentiation

[modest elbow]

Why’s bro sending that here 😂

[modest elbow]

Ayo chill

[blazing mulch]

[modest elbow]

Too much

[modest elbow]

😛🤫

[blazing mulch]

nitroless

[dusky cedar]

Ye

[blazing mulch]

fr

[dusky cedar]

Learning things before the exam 💪

[modest elbow]

Fix up

[modest elbow]

Ur a nerd for paying for nitro

[blazing mulch]

what

[modest elbow]

Tuff

[lethal sky]

why cant i just do product rule

[blazing mulch]

who said i paid for them

[dusky cedar]

😓

[modest elbow]

And why on earth would u do that

[lethal sky]

hang on

[modest elbow]

😟

[modest elbow]

Na I think I’ll go sleep

Migraine

[dusky cedar]

I wish o had an ipad this year space for my writing has been my downfall

[modest elbow]

It’s over

[lethal sky]

fuck off

[modest elbow]

Get one

[modest elbow]

Bro

[lethal sky]

no one cares

[modest elbow]

U have a potty filthy mouth

Stfu

[blazing mulch]

the fonts are so clear

size changed too

[modest elbow]

Bc I didn’t like the size

[dusky cedar]

Saves the image thanks 🤩

[modest elbow]

U saved it ? 😭

For what

[dusky cedar]

Mhm manipulating trig identities

[modest elbow]

Fairs

There’s probs multiple ways to do it

This just the easiest one for me

[modest elbow]

Whats wrong with that

[blazing mulch]

what

thats a compliment

clear = good

@lethal sky are you doing part b

[lethal sky]

yh i can do it now

[modest elbow]

Okk

[lethal sky]

is it just second derivative

[modest elbow]

Good!

[blazing mulch]

👍

[lethal sky]

then sub in x

[blazing mulch]

yes

[modest elbow]

Huh?

[blazing mulch]

yes

[modest elbow]

Oh ur talking about the next part

[lethal sky]

what do i do after subbing x

[modest elbow]

Yhyhyh

[blazing mulch]

well to prove if its point of inflection

[modest elbow]

Think

[blazing mulch]

2nd need to be 0

3rd need to be NOT 0

[lethal sky]

oh so i have to write a sentence or something

[blazing mulch]

yes

[modest elbow]

Think

[blazing mulch]

dont need to think

[modest elbow]

Great mentor u are

[lethal sky]

im gonna close this post so u guys @modest elbow and @blazing mulch dont talk to each other anymore

[blazing mulch]

why

no

[lethal sky]

im boycotting all of u

[blazing mulch]

dont close it

[modest elbow]

Hater

[blazing mulch]

fr

[modest elbow]

Acting like I can’t just message her

[blazing mulch]

hater gonna hate

[lethal sky]

proud to be a hater

[modest elbow]

Aren’t u two besties now

[lethal sky]

no we're lovers

[modest elbow]

That’s why I (slightly) like u

[blazing mulch]

we are competition now

[lethal sky]

i thought we were lovers

[modest elbow]

I’m afraid Mik isn’t competition much

[lethal sky]

i thought thats what we are

clearly not

[blazing mulch]

lover to enemy

[lethal sky]

thanks chlo

entire day is ruined

thanks

[blazing mulch]

wait

no

[lethal sky]

thanks a lot

[blazing mulch]

NO

like

[lethal sky]

</3

[blazing mulch]

its enemy back to lover

like romeo and juliet

yk

[modest elbow]

I’m Asian

[lethal sky]

i dont care

[modest elbow]

😂😂😂😂😂

Fairs

[blazing mulch]

damn

[lethal sky]

any last words before i boycott u guys

[blazing mulch]

yk what

[lethal sky]

no?

ok

[blazing mulch]

im actually scottish

i been lying this whole time

[modest elbow]

I love Chloe she’s my goat but I hate u Mik

How about that

[blazing mulch]

😭

LOL

ITS KEEP COMING BACK

[lethal sky]

FUCK OFF I KEEP ON CLOSING IT BUT U GUYS KEEP ON OPENING IT

[modest elbow]

What does

[lethal sky]

STOP

[blazing mulch]

HAHAHAHA

[modest elbow]

Bro I haven’t done anything 😂

[lethal sky]

FUCK OFF 😭

[blazing mulch]

thee post thing

[modest elbow]

Shhh

[lethal sky]

FUCK OFF STOP OPENING IT

[modest elbow]

Ur ain’t closing shit