Where can I use derivative of some function?

[jovial trout]

I'm trying to make a black hole, and I want the blackhole's gravity's absorbing power equal to this:
x = distance between player and black hole
y = absorbation power
the function:
y = 12/x
I tried differentiating this function and got this:
y = -12/x^2
I was wondering if I can use this here and how it works

[wintry mortar]

You said you want "the blackhole's gravity's absorbing power equal to this", thus you don't need the derivative

[jovial trout]

I mean

just wondering if

i can use it somewhere else

not only this

just thinking if it is either useless or useful on roblox physics...

[wintry mortar]

well, it definitely isn't useless, but if you just wanted the force equal to that, you don't need the derivative, also what do you mean somwhere else?

[jovial trout]

actually

somewhere

like i dont really know

but

it could be used in somewhere

so

[wintry mortar]

Well u can use derivative to find max force of the equation

[jovial trout]

Really?

[wintry mortar]

yea

[jovial trout]

Do i just have to put normal x value on the derivative?

[wintry mortar]

no

the derivative is -12/x^2, so

-12/x^2 = 0
-12 = 0, so there's no max

[jovial trout]

where do you find these?

[wintry mortar]

well i have taught to do that in highschool

[jovial trout]

well im in middle school 😭

[wintry mortar]

you just find the critical point using
"x" from f'(x) = 0, but since it's undefined here, the function doesn't have max value (iirc)

[jovial trout]

btw i want to use derivative on not only calculating these
Whatelse can I use it on?