Derivative of tan(x) from first principles (definition)

In this video I showed how to use the definition of the derivative to find the deriative of tan(x)

[SIERRATREES]

I am retired and just started doing maths again. I find it fascinating and endless, and very satisfying when mastery is gained ; its also good distraction from this turbulent world, like a meditation. This work by Newton is clear and extremely helpful.

[chiagozieazodo]

I Love these Tutorials So Much, Prime Newtons just has to be the BEST Math YouTube Channel I have ever come across. NEVER STOP LEARNING. Thank you so much Prime Newtons❤️❤️❤️🙏🙏🙏🙏💯💯💯

[jan-willemreens]

...Good day Newton, These kinds of proofs make mathematics personally so much fun to study. Great presentation, and I just wanted to pass on to you that I learned that the procedure is called "First PrincipleS" with an "S"... Thank you and take care, Jan-W

[econhelp]

Great presentation! It was very clear and helpful. I also liked the last piece of advice. I agree 100% about the pursuit of learning. I strive to be a life-long learner. I am still studying at the age of 58 (taking a math class at my local university). My first four degrees were fun (BA, MA, MS, PhD) and my job is great, but learning new things every day is what really keeps me going. Thanks for this video, it was awesome to watch!

[johnnolen]

There is another way to prove this from first principles. Your approach is much simpler and quicker but the difference quotient: [tan(x+h) - tan(x)]/h can be expressed as [tan(h)(1 + Taking the limit of this expression as h tends toward 0 yields 1 + tan^2(x), which is the Pythagorean identity for sec^2(x) ◼

[lyricaltherapist]

Coming to watch your videos at the end of the day makes feel like a genius in math.. Thank you

[whodhoni]

the way my man explained was damn good, from India ❤

[crishzZ]

Thankyou sir ✨️
Love from KERALA India❤️

[holyshit]

I used formula for tan(x+y) and had to taclulate limit limit(tan(h)/h, h=0)
Finally I have got following answer (tan(x))' = 1+tan^2(x)
and in my opinion this form of answer is more useful especially for integrals

[MyOneFiftiethOfADollar]

Nice Job.

More typical is the mindless quotient rule which a lot of us could not prove from "first principles".

[kenlance]

My mentor ❤🎉 Mr Prime ... you changed 60% of the students who had negative attitude toward maths...here in kenya 🇰🇪 😅😅😅 you will not remain the same Mr prime 🎉God blessed you🫡🫡🫡🫡

[ianmyers]

Such clear and concise tutorials. Awesome job thanks,

[meriamsuyom]

Keep posting im from the philippines you explained well God bless

[punditgi]

Many thanks for these videos! Good to know these derivations!

[Kibo-sama]

Love from India sir, you're an amazing teacher

[yplayergames]

It's 10 pm in Brazil and I just thought: "How is the derivative of Tan x by the first principle, and then I found this guy one of my favorites math YT channels" Thanks Prime... this video couldn't be clearer than it aleeady is, nice job

[constancephilip_]

Thank you so much! You make learning easy! 🤗

[its_me_zryz]

New subscriber💥
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. Thankuhh sir❣️

[nope]

understandable, thank you very much teach

[RubenRuben-zjqz]

Your video are good can you please do more of intergration of tanx cosx sinx please😊