Derivative of tan(x) from first principles

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How to find the derivative of tan(x) from first principles

Begin the process with the formula for first principle differentiation and substituting tan(x) as your function f(x). A few trig identities are required for this process, however most of it is down to simplifying, substituting and combing terms.

Music by Adrian von Ziegler

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Loved the proof and the background music, I was exactly looking for this. Lot of people have proved this with chain rule, But before jumping into the chain rule I wanted to do it with limit

VarunVishwakarma

thank you so much. my teacher is trash and didnt explain anything so this really helped me

amaansyed

I prefer to leave answer as 1+tan^2(x)
because it is more useful for example for integration

holyshit

Thank you so much u made my concept crystal clear

penywise

Can you please solve xsinx by first principle. Because your way of teaching is very clear

chandanjoshi

Beautiful work. Is it also acceptable to take lim h to 0 on [tan (h)/h]=1?

liewts

Is it okay not to substitute 0 in 1-tan^2 (x) even if you evaluated the limit?

Edit: nvm, you can separate sec^2 (x)

satrickptar

Thank you so much for your It's so And the background music is

siwanikamal

Now I understand the power of Krishna who use the this instrument....

happihuman

This.music. make. Me. To. Solve. All. The. Differentiation. Problems

thummalareddy

Supb sir iam proud to be an indian teachers in ' MATHS' SUBJECT

mihirpandyapandya

Love the background music...it's amazing 😍

anjalikumariboardroll

This background music make me nostalgic for Chinese movies

josephore

Last step: why is cos(h) in denominator equal to 1?

mattdodgers

kindly i like the way u do this
can u share the background sounds playing please
i like them all

thomasshanunu

This.music. make. Me. To. All. The. Differentiation. Problems

thummalareddy

I'm glad I learned the quotient rule.

voodooblue

You have done a fantastic job sir/madam

srujan

Wonderful. But you could do with some voice explanation

landykenduanyi

Thanks a lot! Music is quite relaxing... Its nostalgic and so is your proof

lukeLego

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