Differentiate an equation of a circle lol | Mathematics | Page 1

west abyssBOT Apr 30, 2025, 1:08 AM

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silver fractal Apr 30, 2025, 1:08 AM

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I did it guys

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how do I do it 😭

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Point P (5,-3) lies on the circle

I’m supposed to find a tangent to C at point P

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oh wait

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I just

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make a normal from radius to point P

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calc the gradient of the normal

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and just inverse for the gradient of tangent

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oh

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it becomes

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0/5?

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wtf is an infinite tangent

plain wadi Apr 30, 2025, 1:23 AM

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you have to do implicit differentiation

silver fractal Apr 30, 2025, 1:23 AM

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what is that?

plain wadi Apr 30, 2025, 1:23 AM

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silver fractal wtf is an infinite tangent

infinite tangent is basically where the line is vertical

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or dx/dy = 0

plain wadi Apr 30, 2025, 1:24 AM

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silver fractal what is that?

why are you trying to differentiate a circle without knowing implcit differentiation

silver fractal Apr 30, 2025, 1:24 AM

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I thought we had to do it

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but

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nah

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I have to find gradient of normal

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which is just 0

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but that’s where idk

plain wadi Apr 30, 2025, 1:25 AM

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normal of what

silver fractal Apr 30, 2025, 1:25 AM

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if the gradient of the normal from the radius to point P (5,-3) is 0 then what is the gradient of the tangent to point P

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oh

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hold on

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it’s straight up

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and because gradient of tangent is the negative reciprocal of the gradient of the normal

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it’s just

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this?

plain wadi Apr 30, 2025, 1:28 AM

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how are your y coordinates the same

silver fractal Apr 30, 2025, 1:28 AM

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we are given a point

plain wadi Apr 30, 2025, 1:28 AM

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your diagram doesn't make sense

silver fractal Apr 30, 2025, 1:28 AM

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point P being (5,-3)

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the centre of the circle is (3/2,-3)

silver fractal Apr 30, 2025, 1:29 AM

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plain wadi your diagram doesn't make sense

😭

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woaaah

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im so stupid

plain wadi Apr 30, 2025, 1:30 AM

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because that point wouldn't lie on there

silver fractal Apr 30, 2025, 1:31 AM

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plain wadi Apr 30, 2025, 1:31 AM

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wait what was the radius of the circle you got

silver fractal Apr 30, 2025, 1:31 AM

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the radius is 3.5

uneven cypress Apr 30, 2025, 1:31 AM

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do you know how the y axis works ?

plain wadi Apr 30, 2025, 1:31 AM

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silver fractal the radius is 3.5

ok that should be an accurate diagram then

silver fractal Apr 30, 2025, 1:32 AM

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uneven cypress do you know how the y axis works ?

Im doing a level maths and im mixing y and x coordinates 🥹

silver fractal Apr 30, 2025, 1:32 AM

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silver fractal

the only line perpendicular to this one

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would be

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x = 5 correct?

plain wadi Apr 30, 2025, 1:32 AM

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yeah

silver fractal Apr 30, 2025, 1:33 AM

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this

plain wadi Apr 30, 2025, 1:33 AM

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well it could be any line of the form x = a

silver fractal Apr 30, 2025, 1:33 AM

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I need a serious sit down about maths bro ☠️

plain wadi Apr 30, 2025, 1:33 AM

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tangent is x = 5

silver fractal Apr 30, 2025, 1:33 AM

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okay thanks

plain wadi Apr 30, 2025, 1:33 AM

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does it ask you for the gradient

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or the equation of the line

silver fractal Apr 30, 2025, 1:34 AM

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all we need is equation

plain wadi Apr 30, 2025, 1:34 AM

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oh ok

silver fractal Apr 30, 2025, 1:34 AM

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I was trying to find the gradient

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not knowing that

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it kind of doesn’t have one? Idk

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or 0

plain wadi Apr 30, 2025, 1:34 AM

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0 would be horizontal

silver fractal Apr 30, 2025, 1:34 AM

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what would be vertical

plain wadi Apr 30, 2025, 1:34 AM

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it would tend to infinite

silver fractal Apr 30, 2025, 1:35 AM

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ah

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so

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the gradient of the centre of the circle and the point on the circle is 0

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and that’s right bcs it’s horizontal line

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but

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the line I’ve drawn being x=5 has an infinite gradient?

plain wadi Apr 30, 2025, 1:36 AM

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yes

silver fractal Apr 30, 2025, 1:36 AM

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oh yes

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coz

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at x=5, y=everything ?

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or

plain wadi Apr 30, 2025, 1:37 AM

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sort of?

silver fractal Apr 30, 2025, 1:37 AM

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increases infinitely?

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idk

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but for the other one

plain wadi Apr 30, 2025, 1:37 AM

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it can take any real value

silver fractal Apr 30, 2025, 1:37 AM

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no matter how large x becomes y has no increase

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so itd 0

plain wadi Apr 30, 2025, 1:38 AM

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if y = m(x) + c where m tends to infinite

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and we divide by m

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we are left with x = 0

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y/m tends to 0 as m tends to infinite

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so does c/m

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i think you could think of it like that

rough otterBOT May 1, 2025, 2:00 AM

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@silver fractal

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#Differentiate an equation of a circle lol