Calculus 1: Lecture 2.2, 2.3, 2.4 Differentiation, Rates of Change, Product, Quotient, Chain Rules

This is a real classroom lecture where I covered sections 2.2, 2.3, and 2.4.

The sections cover the following material,
- Basic Differentiation Rules
- Rates of Change including the Average and Instantaneous Rate of Change
- Product Rule
- Quotient Rule
- Chain Rule
- Velocity and Acceleration Word Problems

It's 2 lectures combined into one, although the camera overheated during the second lecture, but I was still able to get a full word problem in with velocity at the end.

[millenmark]

I wish I was in this class of yours personally. It's so much fun. Btw, thank you for this. It's really helpful to me.

[BGP_]

I watched this video as a supplement to my Calculus lectures. I absolutely appreciate your posting this. Your energy and love for mathematics shows. The way you engage with your students is amazing and makes me wish I was in your class. Thank you for your channel.

[ron]

I can't put into words how enjoyable it is to watch
Beside that, I still watch your newer releases, where you help someone or share some advise - keep those things up
1 Q: Where did you hold these classes?

[michaeledwardharris]

Nice to see both you and your students getting so much out of this. This really made me miss some of my teachers.

[Chris-nipv]

I feel like he's congratulating me for getting them right too, makes me smile and feel good inside.

[georgettebeulah]

This make so much sense and meaning and wish to understand and see more lecture of everything and wish to learn more also.

[aarongiron]

Escribo en español porque me fijé, gracias a los comentarios, que usted lo entiende. Muchas gracias por la excelente calidad de clases que nos proporciona, es usted una persona muy carismática con la que se hace ameno y divertido aprender. Usted no tiene las visitas que merece, pero espero que continúe haciendo este tipo de contenido e inspirando a personas como yo a continuar con nuestro estudio de matemáticas. ¡Saludos!

[LuizAntonioPalma]

Your classes are so good, they made me sign up as a channel member.
I'm still getting used to seeing you not cutting the 7 like i do here in Brazil 😂

[johubify]

WE HAVE A LONG QUALITY LECTURE
Thank you sir:)

[ichbindarren]

I am watching this for fun. I love these videos

[medielijah]

Why is homework part always left out and not shown in the video?!!?

Homework is VERY important in math. Wish we could see homework problems

[ObtainThePain]

In 10th grade, I had a super quiet chem class, but everyday 6th period, we'd hear the blood-curdling screams of an angry teacher wailing their head off about units coming from the physics room at the end of the hall, fast forward to senior year and that screaming teacher has been my physics teacher 2 years in a row-

[Brian-rost]

What is the point system for when the students miss your mistakes?

[brhanumeresa]

how can i determine the nth derivative of a given function shortly please can you tell me

[tatendamariga]

can we use quotient rule on number 10 that is the derivative of cot x/sin x

[sguyobsolete]

Escribo en español porque dijiste que entiendes el idioma. Si prefieres que escriba en inglés puedo hacerlo. ¿Qué libro sigues en las clases? ¿Larson? No encuentro la lista de reproducción de las clases de cálculo 2, sólo encuentro las de cálculo 1 y 3. ¿Existe? Gracias por adelantado.

[nigga]

I love your way very much..thank you make me love calculus

[renewd]

y' = (7/2) secxtanx - (7/2) sec^2(x)
= [(7/2) secx](tanx - secx)
= (7/2cosx)[(sinx/cosx) - (1/cosx)]
= (7/2cosx)[(sinx - 1)/cosx]
= (7/2)[(sinx - 1)/(cos^2(x))
= (7/2)[(sinx - 1)/(1 - sin^2(x))]
= (7/2){[(sinx - 1)]/[(1 - sinx)(1 + sinx)]}
= ( - 7/2)[ 1/(1 + sinx)]
= - 7/[2(1 + sinx)]

I realize this is hard to follow given the format, but I'm pretty sure it does simplify. I know this isn't really necessary, but whatever.