Horizontal Tangent Lines & Vertical Tangent Lines In Polar Form

This calculus 2 video explains how to find the horizontal tangent lines and vertical tangent lines in a polar equation by finding the first derivative and setting the numerator and denominator equal to zero.
Parametric Equations - Introduction: • Parametric Equations I...
Derivatives of Parametric Functions:
• Derivatives of Paramet...
Tangent Lines of Parametric Curves:
• Tangent Lines of Param...
2nd Derivative - Parametric Equations:
• Second Derivatives of ...
3rd Derivative of Parametric Curves:
• Differentiation of Par...
___________________________________
Horizontal & Vertical Tangent Lines:
• Horizontal Tangent Lin...
Area of Parametric Curves:
• Area of Parametric Curves
Arc Length of Parametric Curves:
• Arc Length of Parametr...
Surface Area of Parametric Curves:
• Surface Area of Revolu...
Polar Coordinates - Introduction:
• Polar Coordinates Basi...
Tangent Line Equations - Polar Form:
• Tangent Line Equations...
____________________________________
Horizontal & Vertical Tangents - Polar:
• Horizontal Tangent Lin...
Area of Polar Curves:
• Finding Area In Polar ...
Area Between Polar Curves:
• Finding Area Bounded B...
Arc Length of Polar Curves:
• Arc Length of Polar Cu...
Surface Area of Polar Curves:
• Surface Area of Revolu...
_______________________________________
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[@TheOrganicChemistryTutor]

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[@georgesadler7830]

Professor Organic Chemistry Tutor, thank you for a lengthy explanation and analysis of the Horizontal Tangent Lines and Vertical Tangent Lines in Polar form in Calculus Two. This is a tremendous amount of information for all students/nonstudents to remember, therefore I will rewatch this great video. This is an error free video/lecture on KZbin TV with the Organic Chemistry Tutor.

[@xHannaHx33]

Half an hour for 1 problem 😖😭 (but he did an AMAZING job of explaining it)

[@adrasteia7092]

You're a life saver... you explain this stuff way better than my professor.

[@xc4509]

This is hell

[@rami8896]

he made it so simple but its still hard to remember all that before a test...

[@dongiovannidemontecristo1835]

NO PAIN NO GAIN

[@theadel8591]

No it is heaven

[@czar6203]

Doing it WITHOUT this video IS HELL.

[@joecamroberon9322]

For the numerator you can let cosx = x So 2cos^2x + cosx - 1 will be 2x^2 + x - 1 = 0. This is easily factored as (2x - 1)(x + 1) =0. Then just replace the x with cosx.

[@strangerdanger7616]

That's what he did lmao he just skipped the substitution. Your just adding in an extra step

[@Youseffridge]

Dude, your videos help me so much man

[@matthewbusch1484]

I literally love this man, thank god for him.

[@kristianholstad9599]

Can also use x = rcos & y = rsin, -----> x = 2cos(1+cos) & y = 2sin(1+cos), so u dont need to derivative r & plug it in.

[@jcasma]

You're the best. Thank you very much

[@Attalla-t9b]

Great Explanation!

[@JenniferRokks]

Very great informative video! Thanks!

[@packy6758]

Hey, amazing video super helpful problem. You are carrying me in calc. I have a question. Dosen't (0, pi) not work for both? According to the graph, there is a cusp there, meaning we cannot differentiate it there

[@knewzi3152]

Thank God. I finally understand.

[@Djcooksc]

Currently watching this in class right before the test lets go

[@majedtayyem3165]

Imagine this q come in my exam i’ll spend the all hour to solve it and maybe i’will make a mistake 😂

[@davlatbekkobiljonov911]

thank you bro

[@meryemcemileerol]

thankss 🥰

[@strangerdanger7616]

The horizontal tangent line is touching the graph twice though? How is it a tangent?

[@JuanRuiz-ig8el]

I thought there wouldn't be a derivative at a cusp and therefore no tangent line? or am I wrong?

[@bluefates58]

When I put the points I get for the Horizontal and Vertical Tangent lines into a graph they are no were close to where the graph is, am I doing something wrong?

[@shaibuhassan99]

Good videos

[@sarahpadilla9925]

god bless you

[@syedzaki2383]

Amazing

[@maktub_txt]

Come to Pakistan bro i need to get you gulab jamans

[@leokhandrorami6828]

could you upload videos related to finding the centroid?

[@zaxzaxerly9207]

Why not just divide by sin(theta) at 10:55?

[@forrestkennedy5458]

you would lose answers. Never divide by x! (or theta in this case)

[@queenzui]

thankyou :''

[@BBD_Bangali]

The y-axis is another the vertical tangent. (0,pi) seems legit.

[@Ken-no5ip]

ZAMN!

[@chideadaion5013]

what is this magic

[@xiiixiiih.16]

🍎

[@byeol2412]

Come be my teacher please

[@starwarfan8342]

First