general

walfram is wrong sometimes

but the equation works

I don't rememeber that

tested it in desmos with several points

so now i need to know the derivative of that

those are not sllopes of the tangent line btw

which now looking at it should be 2

nice adblock remove covering the steps pika

pika implicit differentiation means that y is implicitly a function of x

so the real question is x^2 - x*y(x) - y(x)^2 = 9

yes thats the real question

like i said i forgot the = 9

the 9 has nothing to do with why your question made no sense

y being a function of x completely changes the question

regardless

all i need

alright

is the double derivative of x^2-xy+y^2=9

I remebered how to do this

double derivative is 2 if y is independent of x

the single derivative is (2x-y)/(x-2y)

dy/dx = (y-2x)/(1+2y)

i can visually see that it is 2

on the graph

or x -2y

you were right all along, y is dependant on x leg

this is differential equations why are you doing this in high school

because they do not actually need to solve it

its ab calc

and yeah

i think

I had to do this too, it is not actually bad

and I never took any advanced shit

its not bad

im just confused as shit on taking the derivative of dy/dx = (y-2x)/(1+2y)

literally product rule, and chain rule, then rearange for dy/dx

replace y with the negative of what you solved for y as

product rule?

quotient rule rather

oh yeah

wait chain rule?

where can i use chain rule

and take derivatives of y as if they were x, then multiply it by dy/dx

i know the chain rule

then sub in dy/dx that you solved for before

yeah i tried that

that is what you are doing when you take a derivative of y and make it dy/dx

and ended up with a mess of shit

should be a mess of shit

give me a sex

sec

fuck

hot

Alternatively

do not sub in your solution of dy/dx

uh

just solve dy/dx at the point

then sub in the solution

what is the point?

at the point (0,3) find the rate of change in the slope of the curve with respect to x

so derivative of that second equation

at 0,3

I mean

I got -95/7^3

prob did it wrong

idk

uh

Been a while since I have done this

You're doing it wrong Pika, you need to seperate like terms first

How the fuck am I supposed to write math equations in discord, fuck

rip

Seperate into y/(1+2y) and -2x/(1+2y)

I guess that makes much more sense than what I idd

This is fundemental calc shit, not real calc

This is what you'd be taught right after fundemental theorum and the limit proofs