Graphing Derivatives Using Graph of f(x)

Many times you will be given the graph of a function, and will be asked to graph the derivative without having the function written algebraically. Here we give some tips on how to graph the derivative of a function. We also work a few examples where we graph the derivative of different functions.

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[krainiequyen]

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

[birajrawal]

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

[HaIsKuL]

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)

[DaYiAiGuiGu]

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

[sheilapaine]

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

[afnanansari]

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

[lime]

Wow this mans a genius I love him and god bless him ❤

[hassansaab]

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

[ya]

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

[prontgamer]

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

[Ashleydiscgolfs]

This video is super helpful. Thank you for clarifying!

[JoeSkutnik]

Excellent teaching & explanation. Thank you! 

[ddahstan]

💯%❣. Loving your tips and explainations!!

[yvonnejohnson]

Thank you! You cleared up my confusion.

[techguy]

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..

[pomeraniansandacat]

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.

[TuanNguyen-kogj]

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.

[kwongchiewfoong]

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

[abdikhadarhashi]

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.

[khangle-eodi]

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