Tangent Line Equations, Slope, & Derivatives In Polar Form | Calculus 2

This calculus 2 video tutorial explains how to find the tangent line equation in polar form. You need to find the first derivative dy/dx of the polar equation and evaluate it to determine the slope in polar form. Next, convert the point from polar form to rectangular form and write the equation of the tangent in slope intercept form using the point-slope formula.
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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www.video-tuto...
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[@TheOrganicChemistryTutor]

Next Video: kzbin.info/www/bejne/e4fInot-jMekjas Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Math & Science Videos: www.patreon.com/mathsciencetutor/collections

[@marianaasko6604]

Thank you so much for this! I was literally in tears over my homework but this made it a lot easier to understand.

[@gartyqam]

james stewart rlly dosnt make it easy for me to learn this

[@adenmustafa7101]

@Vincenzo Gael Yea, been watching on flixzone for since december myself :)

[@georgesadler7830]

Professor Organic Chemistry Tutor, thank you for a solid analysis of Tangent Lines Equations, Slopes and Derivatives in Polar Forms in old fashion Calculus Two. The practice problems/examples increase my overall knowledge, interest and understanding of the material. This is an error free video/lecture on KZbin TV with the Organic Chemistry Tutor.

[@evs7209]

These videos are so much more helpful than my calc professors, Ive got a test coming up so lets see just how prepared these make me

[@yingnancai488]

did you make it?

[@evs7209]

@ yea bro got an A in the class

[@MohammedNadeem-f1c]

@ 7:23 What numbers are you using to plot the graph and how are you deciding the intervals

[@brothercuber3288]

My math textbook had a severe typo which led to repeating the same equation twice. This is a life saver

[@NicoleDue]

It helped me a lot. Thank you for this easy to gasp tutorial about this certain topic.

[@dacksonflux]

Once again, you saved my life. I don't deserve you.

[@saki7952]

Please why don't you upload statistics such as frequency distribution table, finding medium, mean, quartiles, modal class. Please dear Teacher may upload those lessons soon. As Somali students we request from you to upload this topic soon. Thank you very much Mr Julio Gonzales.

[@evansduah7706]

May almighty God Yahweh bless you man

[@joshuaezell7571]

Gotta say, this helped me a lot!

[@clorox1738]

Calc BC test tmmrw! Helped a ton

[@kylecatman7738]

How many "takes" do you do each video? Just curious. Or do you nail it first time every time?

[@SlicedInThree]

At the beginning, how do we know that x = r cos(theta), and that y = r sin(theta)?

[@mari-025]

Just simple trig definitions sinx = opp/hyp sinx = y/r Therefore y = rsinx Same goes for x

[@juniorcyans2988]

The best, as always

[@farukben]

Thanks for your content.

[@dragosmusiconly7535]

Marking 6:50 for my test

[@Lusana32]

why does it touch the x axis at 5, he says 2+3 but where is that even from, why does it also touch at 1? he says 3-2=1, but where is that even from? why is it touching the y axis at 2 and -2? why does it also touch the origin? why are there also the points of (2,3) and (2,-3)? Can somebody please help? I'm so lost right now.

[@pauldior9704]

Me too! im trying to study for this and its not making sense where he got that from. Somebody help us!

[@justhere9399]

u should watch the ‘how to graph polar curves’ or smth like that on his channel. he explains it there n it’s very simple

[@milenaa_autic]

How did you get (2,3) coordinates?

[@ayushvaidya6608]

those are just by plugging in π/2 to x=rcostheta and =rsintheta. He needs those coordinaates for a tangent line as on the polar curve, the line is tangent to (2,3) given a π/2 angle.

[@troybizzle]

im confused on how you graphed the first equation

[@elijahtorres9111]

I like how he messes up so he erases the whole figure to redraw the limagon

[@kylecatman7738]

Ligamon isn't a word.

[@sadaqathussain9693]

Thanks alot

[@christianscheckel906]

Anyone else binging before their AP exam?

[@UsamaTechTips]

1 comment