Differential Calculus - Tangent and Normal Lines

How to find the equations of the tangent and normal lines to a curve

[@bonieljohnbennetht.7163]

This would help me a lot Sir, since exam namin ngayong Wednesday. Thank you Si, r laking tulong niyo po
God Bless you

[@vekjeetchamp7715]

Hey Sir IJ! I think this question might be related to the topic, but I can't seem to solve it.
The question goes:
What is the range of f(x)= (x^2 - x +4)/(x-3)?

[@christianpaulmisa8190]

Its 2021, thank you I learn a lot.

[@IsaiahJamesMaling]

Thank you idol sa panonood. God Bless you always.

[@kristinemaebantilan1614]

spotted misaa

[@christianpaulmisa8190]

@@kristinemaebantilan1614 Legit na i learn a lot dire bantilaannnn

[@user-sv2qj2nd1t]

Thank you sir ganda ng pagka explain po

[@IsaiahJamesMaling]

Salamat idol

[@johncarlopagulayan3318]

Mas mahusay pa to sa prof ko!!! Tysm poo

[@IsaiahJamesMaling]

Salamat master JC.

[@makerkent535]

Yown! Salamat po! More problems pa po salamat. GODBLESS

[@IsaiahJamesMaling]

God bless

[@engrjeancallejo]

Hello pppo hihi thank you po sir🧡 naka tulong po sa akin engineering student here

[@angelocalara4990]

Thank you sir sa video mo✊✊✊💜💛❣️

[@lermacabatic5045]

Thank you po

[@zaballeromichaelaangelic-a6733]

Thank you kuya, more examples pa po Godbless :)

[@IsaiahJamesMaling]

Sure. God bless po

[@markdavesoquena9757]

Thank You Sir J!!!

[@IsaiahJamesMaling]

Welcome lods

[@jayromulo9676]

Sir isaac pano po pag yung equation ng isang tangent line ay may value yung y nun. Kailangan po bang gamitan ng implicit differentiation para makuha yung derivatives nung tangent line? At pano po isolve pag gamun? Salamat po

[@mightynikka1001]

Sir J thank you po!!

[@IsaiahJamesMaling]

God bless idol

[@PHCuber]

Wow may intro na:)
Paki HS na lang po

[@criswenfortin1389]

Grabi naman yon!

[@nacht3894]

Thank you sir IJ!!

[@augustusmoran5865]

Sir IJ, paano po if yung slope of tangent line ay 0 kaya yung slope ng normal line is -1/0. Paano makukuha yung normal line equation using point slope form if undefined po yung slope niya?

[@IsaiahJamesMaling]

Ano po ung actual na tanong

[@platillaalvin9038]

sir suggestion po pwede po gawa ka ng playlist like yung topic for diff cal yung isa naman for integ cal then yung isa Differential equation kasi po halo halo hahaha btw thank you so much po marami po akong natututunan sainyo mga dagdag kaalaman
ps. sana maraming tutorials sa DE and integ hahaha hirap po kasi ako dun

[@IsaiahJamesMaling]

Gawan natin paraan. Madami Kasi iba iba request.

[@IsaiahJamesMaling]

Thanks po

[@platillaalvin9038]

thank you sir para organize then madaling hanapin yung vid hahaha thank you po ulit sa response

[@pwrlss08]

pano po pag walang given point and nakalagay lng "at its point of intersection with the line y=5"

[@habriwilzen5123]

salamat sir

[@IsaiahJamesMaling]

Salamat my idol

[@renzelagrada1107]

Hello po, pwede po mag tanong regarding po sa paghahanap ng equations of the tangent and the normal of y=x^3 -7x + 6 at its points of intersection with the x-axis. salamat po.

[@IsaiahJamesMaling]

Ay Sige po gawan ko video lods.

[@renzelagrada1107]

@@IsaiahJamesMaling Thank you po.

[@IsaiahJamesMaling]

Posted na

[@renzelagrada1107]

@@IsaiahJamesMaling Thank you po, meron pong link?

[@IsaiahJamesMaling]

@@renzelagrada1107 kakapost ko lang kagabi

[@summerbadiola4434]

Hello po! Ask ko lang po pano yun if yung derivative with respect to x is magkaiba sa derivative with respect to y?
This is the given po 3xcosy=1+x2 + √2y+1 at P(1,0).

[@IsaiahJamesMaling]

Yes magkaiba po. So gagamit ka ng product rule para sa 3x cos y

[@kuromimi_112]

grabe hulog ka ng langit sir

[@aprilm4533]

pashout out lodi!💓

[@IsaiahJamesMaling]

April Rose name mo? Yan na talaga?

[@aprilm4533]

opo haha

[@luisrafaelgabriel9290]

thankyou sir!

[@IsaiahJamesMaling]

Salamat din idol

[@kuyakevz6714]

Ask ko lang po what if my slope is a fraction then po I will find the tangent equation, ano po yun pwede icancel ang denominator like in finding normal equation? Thank you po in advance for your response 😊

[@jhonraymanalo5637]

Sir IJ, what if ang given curve po ay need ng implicit differentiation? pano po yon? like x^2+4y^2=8?

[@yowreesesame1803]

Idol pa shout out! How to be you po? Hahaha

[@IsaiahJamesMaling]

Sure

[@kuromimi_112]

sana ikaw nalang prof namin sa calculus sir pashift na ko eh HAHAHAHAHAHA

[@zhuojinwoo786]

pano naman po kapag perpendicular po instead na parallel? pls pakisagot.

[@IsaiahJamesMaling]

Ano ung mismong tanong?

[@salongageraldineannes.7697]

Sir J, pano po pag implicit yung given function? Paano po makukuha yung value of X? Thank you po

[@marlontheadventure2161]

Good morning Sir J! 😀Ask po sana ako if ano po yung exact na name ng book ni Peterson yung gamit nyu po sa video napo ito. I hope na napansin nyo po, badly needed po kasi. 😊

[@IsaiahJamesMaling]

Calculus with Analytic Geometry by Thurman Peterson

[@chloeysabelsalvaloza6157]

Sir what about po if perpendicular po ang nasa problem #2 at hindi po parallel. How can I solve it po?

[@IsaiahJamesMaling]

Saan banda.

[@chloeysabelsalvaloza6157]

Like how can I solve if po if the equation of tangent is perpendicular to a line at hindi po parallel. May difference po ba sila in terms of solving or
same lang po sila ng way?

[@maganonjay-arrd.5288]

san po nanggaling yung y+5-3(x-3) ?

[@IsaiahJamesMaling]

Saan po

[@maganonjay-arrd.5288]

gets ko na po Sir. nanggaling pala sa formula. Thanks po. more power po sa channel niyo! 🙂 Stay safe Sir lodi 🙂

[@IsaiahJamesMaling]

@@maganonjay-arrd.5288 sure po. God bless idol

[@angelobienes6611]

pa shout out lodi

[@clarencejaycorpuz3183]

Yung may y nmn po sana.
Like mga y=x²+y²-2xy+6 mga ganito po na curve

[@modinmodin2791]

Pwede po bang gumamit ng slope intercept form? y=mx+b

[@IsaiahJamesMaling]

Pwede :)

[@modinmodin2791]

@@IsaiahJamesMaling thank you po sir

[@eirongiocastillo8785]

bakit po yung reciprocal ng -2 ay 1/2? di po ba -1/2?

[@IsaiahJamesMaling]

Negative reciprocal. Perpendicular kasi

[@eirongiocastillo8785]

@@IsaiahJamesMaling sige po lods salamat

[@guhitjaid2406]

New subscribers po sir salamat po sa malinaw na pagtuturo

[@kennethjamero4075]

Sir how about zero po ung slope of tangent line thankyou

[@IsaiahJamesMaling]

y = k kapag 0 ung slope

[@kennethjamero4075]

@@IsaiahJamesMaling mahahanap din po ung normal line ?

[@kuyakevz6714]

Lods tanong ko lang about dyan. What if
y² = x³ / 4 - x
Ano po yun 2nd derivative ang kukunin?

[@IsaiahJamesMaling]

First derivative po pag slope

[@kuyakevz6714]

@@IsaiahJamesMaling what if second derivative po kinuha ko?

[@clive4782]

Sir IJ, pano po pag area og a triangle ang hinahanap tapos may connect rin siya sa equation of tangents and normals? Sana may video pra sa mga ganun na examples🤗🤗

[@IsaiahJamesMaling]

Gawan natin soon idol

[@clive4782]

@@IsaiahJamesMaling wow, nag reply tlga si sir IJ, napaka inspiring po nang mga vlogs niyo po, pinanood ko, tsaka napka linaw nang mga explanations, CE student po ako, at kumukuha ako nang mga inspirations sa mga videos mo sir IJ, sana marami ka pang matulongan at more power po sa iyo sir😊😊. Solid fanboy here lods👊👊

[@IsaiahJamesMaling]

@@clive4782 salamat idol. Super thanks sa support.

[@ceinntv3093]

Pashout out po Sir IJ

[@IsaiahJamesMaling]

Ano po name

[@ceinntv3093]

Mark Vincent Monta BSME from BulSU

[@ceinntv3093]

Kaibigan ko po si mark joshua santos at kenneth gravamen

[@IsaiahJamesMaling]

Sure master SA mga next vids

[@ceinntv3093]

Salamat po sir.Nagaadvance na po ako sa lesson kahit 1st year pa lang po ako.Malaking tulong po ito sir.Maraming Salamat

[@halalballer9273]

pano po nakuha ung y+5 sa parallel di ko po kasi nagets un

[@IsaiahJamesMaling]

Saan

[@kuromimi_112]

4:54

[@kuromimi_112]

naging y+5 sya kasi diba ang formula is y-y1 and dahil nga yung nakuhang y value is -5, negative plus negative=positive kaya naging y+5

[@kuromimi_112]

hope it helps

[@IsaiahJamesMaling]

@@kuromimi_112 Tama idol

[@christianlongakit749]

paano pag find the equation of a line that is tangent to y=x^3-3x^2 at (0,0)

[@christianlongakit749]

at the origin (0,0) di ba po, sir?

[@IsaiahJamesMaling]

Yes tama.
y' = 3x² - 6x
Substitute mo x = 0 so slope = 0
So ung equation mo ay y = 0

[@christianlongakit749]

@@IsaiahJamesMaling thank you very much po sir, have a good day! Godbless po sir.

[@christianlongakit749]

​@@IsaiahJamesMaling kala ko nababaliw lang ako sir na zero yung equation ko HAHA, thanks po

[@steveguevarra7473]

Sir paano po kapag Implicit function?

[@IsaiahJamesMaling]

Implicit differentiation po

[@steveguevarra7473]

@@IsaiahJamesMaling thankyou po

[@engrjeancallejo]

Sir what if implicit po siya?

[@rhyennatividad536]

Oo nga po

[@engrjeancallejo]

@@rhyennatividad536 Hindi manotice ni sir

[@rhyennatividad536]

@@engrjeancallejo manonotice nya po, wait lang po tayo😊

[@francispaulguya2037]

(2)

[@engrjeancallejo]

@@francispaulguya2037 implicit differentiation lang (Isaiah2020)

[@santosjameskristoffer3131]

Sir. Pano naman po pag ang hinahanap ay ang a,b,c,d sa equation ng mga nagparallel like parabola, hyperbola.

[@santosjameskristoffer3131]

Salamat po kung mapansin niyo pa

[@IsaiahJamesMaling]

Gagawan ko din po Yan

[@rif188]

Boss idol active kapa ba? Pasagot sana ako

[@deguzmanjay8743]

Sir pano pag sinamahan na ng parabola at ellips

[@IsaiahJamesMaling]

Same but implicit

[@deguzmanjay8743]

Bakit po sir implict?

[@IsaiahJamesMaling]

@@deguzmanjay8743 to get the slope.

[@deguzmanjay8743]

Thank you sir🤘

[@lancejavier7848]

Sir baka may fb page ka? follow ko sana

[@danwisedelprado6167]

SER SANA OK KA LANG

[@IsaiahJamesMaling]

Ay why po?

[@ramilcastro4259]

sir what if y point lang ang given?

[@IsaiahJamesMaling]

Anong sample

[@mariellegerminotalape9093]

@@IsaiahJamesMaling kuya help po y=(x+1)/(x-2) at y=2

[@benedictmaddara9248]

Sir IJ, naging prof mo ba sa PLM si Sir Bonifacio?

[@IsaiahJamesMaling]

Nope pero kilala ko sya

[@meyrambekzhantore7958]

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