I cried when I could solve my homework thanks to watching your video. Your explanation was very clear. Thank you so much!

I went through a lot of videos regarding this problem, but I only found yours helpful.

I love you man, I had a test tomorrow and I was freaking out because my teacher never taught us how to do this but you explained it so well , I hope you have a wonderful day

I tried about 7 videos, and yours was the only one where my brain had a light bulb moment. Thank you! I'll pass my Cal Quiz because of you.

Thanks king just watched this video the night before the test and it really came in handy during the math test.

Bro you saved my life

I'm taking Math 121 (Calculus 1) this semester, and we just started this topic today. The way you explained this in your video was awesome! Finally get the concept. So we basically focus on what's happening before and after the Max/Min points, and then graph the derivative..

Thank you so much! It is much easier to understand than doing it from reading textbooks.

lol at first i thought graphing f' was really difficult but it turned out my professor did not teach very well after I watched your video. thanks a lot Mr. Firefly, easy to understand and clear instruction.

I had a 5 year gap between Precalc and Calc 1 right now and I need to go up to Linear Algebra. This, so far, has been the first concept I had a hard time with but now I get it. Thanks, professor.

Very clear explanation! I'm so fortunate to find your video. Thank you so much for making it. You deserve more likes:)

you teach me better than my own prof

Wow! I have been to turors and asked many teachers to explain this to me and now I finally understand. I am so sharing this with my friends in calc class.

You are the best . You can make things very simple. I asked this type of graphing the derivative so many people , none of them made me understand it . Thank you very much. I hope you will post many math videos.

Thank you so much for explaining. My teacher never went over any of these helpful hints. I'm more confident for my test next hour :)

With your example, i could solve my homework. Thank you!

oh my god thank you thank you thank you thank you thank you thank you thank you thank you thank you thank you thank you thank you thank you thank you thank you thank you thank you after one mental breakdown i found your video and thank you thank you thank you

100% better than my teacher , thanks a lot man , very very helpful!!

Thank you, I have my calc final today and I needed a video like this to review these concepts!

Underrated video 🙏🏻

This is so helpful. I wasn't able to find any videos that actually helped me understand but this one did!

I love this video and I love that you are still pinning and liking comments on a video from 2013. Like jesus man what dedication! God Bless

This video is super helpful. Thank you for clarifying!

You explained it so simply and clearly. Thank you so much

very clear. better than my professor!!! thank you so much

AMAZING EXPLANATION!! Thank you so much for posting. You are truly gifted at teaching.

oh my gosh! thank you so much for making this video! I have a big test tomorrow for graphing derivatives.

@Cristopher Glad to help! :)

Wow great video! Very helpful and easy for any level of student to understand

Excellent teaching & explanation. Thank you!

Thank you! You cleared up my confusion.

Thanks alot .I have learned a new thing today from you !!!

On the second graph ( app. minute 7 of the video ) the slope of the initial function is pretty constant on the right above the X axis, so should't the gradient graph be a straight line in that interval ? Great video, anyway! I finally understood them! Thanks for help!

Your video helped me a lot ! Nobody explained like this before ! This is awesome and so interesting,

Great video. To-the-point and not confusing

You know, I've been trying to grasp this concept for months...and I swear I was doing fist pumps during your video bc I finally understood. THANK YOU VERY MUCH

Thank you for a great tutorial!

Maaaan, do I appreciate you! Thanks a lot!

@bellasinfonia, you're very welcome.

Super helpful! Thank you!

Omg you are an angel. Thank you so much! Very easy to understand!

Thanks a lot for your help!

Thanks for the explanation.

You explained it so clearly and thoroughly!

💯%❣. Loving your tips and explainations!!

thank you. Your lesson just so wonderful !

Nice way to explain.....superbbbbbbb

Very clear and detailed. Thank you for the informative lecture. :)

thanks for the gold information , i have ask question that is "what is diff btw first derivative and second derivative "to many teacher and friends they told me that is "this rate of change first derivative w.r.t second derivative" it was very difficult imagine concept or derivation for what and for why? "what is diff btw first derivative and second derivative " this question lying inside my brain for 2.5 years now u have finally given answer for it , very thankful for u "SIR" and working on paper and journal too, everyone for and only marks but not for concept SIR thanks sir

this video was very helpful!! also i'm curious if you will make a video highlighting graphing f(x) when given f'(x)

Really helpful video thanks

Wow, thank you so much, I finally understood it, I've seen tons of videos, and they are not better than yours

Thank you very much!!! Your teaching and explanation is very clear:)

Thanks so much! This was really helpful and now I finally get it! :D maybe I won't fail my quiz tomorrow!

So lost on this. Thanks for the help!!

THANK YOU SO MUCH. This definitely helps with my mid-term thats in an hour!

Brilliant video. Well done !!!!

clear and to the point

SO HELPFUL THANK YOU!!!!!!!!!!

I got it now. Thank you. It's been helpful.

Just a quick question, probably a simple one: When we want to find local (or global) minima/maxima, we use first or second derivative?

Amazing video thank you

I like you're style of explaining. I'm going to use this method when I tutor in Calc. Any chance you can do some Diff EQ vids?

No problem, glad you found it helpful!

Excellent!

This was so helpful, thank you 😄

thanks for the explanation, quick question though if i was to sketch a f'''(x) am guessing it would be a slant (/) line cutting the x axis at the middle zero point of f'(x) , right?

Great video, helped a lot.

Thank you for this video. You are amazing.

Thank you - very helpful!

Hello! I have a question! What about when there are asymptotes between the maximum and minimum points? And if f(x) approaches 0, after the asymptote, how do i draw f'x for it? (:

Props to you sir

sir nice explanation . piease explian different cases in degree4 case

Thank You helped me out a lot!! :)

thank u sooooo much! This is really helpful!!!

what do you do if there are just stationary points?

How do you know the precise values of the derivatives at certain values of x if the graph's x and y axes are numerically labelled? (Still no algebraic expression; just the graph)

@thetrollingstoner639, thanks - glad it helped.

thank you 💕

This helped so much, omg. Thank you.

thanks man

Thank you so much

thanks, much apreessh

life saver xD ty

Thanks so much!!:)

Hallelujah

thank you sir

Thank you so much, I finally understood it clearly! + 1sub :)

It's a bad habit to plot f and f' on the same coordinate plane. Just imagine that x is time and y=f(x) is the location, then f' is the velocity. The units for the y-axis don't match!

God fucking bless you.

definitely recommend watching this in 1.5x or even 2x speed otherwise youll get bored to death. dont get me wrong the infromation is there, its just distributed too slowly for my liking

Thanks Sarah, you can find a lot more videos like this at fireflylectures(dot)com. Thanks again!

Thank you so much