Calculus 1 Lecture 3.1: Increasing/Decreasing and Concavity of Functions

Calculus 1 Lecture 3.1: Discussion of Increasing and Decreasing Intervals. Discussion of Concavity of functions.

[nomuscleasianman]

Probably the best calculus instructor in the world

[dhananjayjha]

Sir, you are not only raising the education standard of your own country but the world. I am enjoying Calculus here in India. Your youtube channel is probably the best place on the Internet. Thank you for the lectures.

[mahaagro]

Leonard, I can't tell you how grateful I am that you exist. let me tell you how much easy you have made my life, maths is my all times favorite subject now. I pray you live a long and happy life, so that you can continue making students' life easy all around the world. please keep posting more brilliant videos. I am struggling a bit in trig: I hope you read this and I'll really appreciate if you reply.

[ameeraali]

I can’t believe I’m watching this for free. Goodness, I’m so grateful for having access to such tutoring lessons.

[grandmasterdaddyberniesand]

I was sick and subsequently missed over a month of class. I was still able to make an 87 on my last exam because of your lectures. Thank you so much!

[funinformationinterestingz]

Leonardo, a person with both brain and muscles

[kingrenny]

Instead of music when practicing other stuff, I just listen/watch these. When I do come and give 100%, I already understand about 30-60% of the video. Keep being the Calculus 🐐

[megapril]

I feel extremely fortunate to have you for pre-algebra, trig, calc 1, calc 2, calc 3, and differential equations. Maybe linear algebra is coming?!

Seriously though, thank you for doing SO much! You’re getting me through my statistics and comp sci degree.

[YorkshireTracklists]

I'm 43 and taking Calculus for the first time in my life, this guy is helping me out so much

[TheMrAwesomeNinja]

So glad this dude decided to upload all these. I think I am going to go support his patreon bc he is a lifesaver.

[CharlotteForbes]

Prof Leonard, you've got a gift for teaching. Thank you so much for helping us all get through math class! By the way, keep telling jokes because you've got a witty sense of humour.

[The_Lost_Attic]

Thank you so much!!!! Sometimes I need to be taught like I'm a 5 yr old...very simple, absorbent, and concise...I actually have hope of passing my online class. 

[imehakpan]

Some people where born to impact others Sir, this is yyour calling and you are doing excellently well!

[Patt]

I think an easy way to represent concavity is through velocity and acceleration. You may have a negative velocity but you can still be accelerating/decelerating and vice-versa.

[aayushsingla]

You have great conceptual clarity and thats the way maths should be taught..
Thanks ..Respect (from India)

[Charger]

Relative Extrema 37:01 Absolute extrema 50:00

[khairilmuiz]

1:19:41 for the x^{-2/3}, isn't x can't be 0 because if it's 0, then it will become 1/0 because of negative exponent?

[harshitjariwala]

Professor, you are awesome, your level of enthusiasm and your level of energy for teaching calculus tends to infinity. limit -> infinity. Love you.

[wolly]

I love maths but then there are most times i can't do things myself. We don't have proper classes (offline or online) in India which sucks honestly. But i love your explanation the most. I've been searching for an english free tutor for a long time, then with God's grace i found you sir Leonard. I am in grade 12 currently and this it so helpful. Thank you sir!❤

[klayxD]

I just can't emphasis how thankful I am.