Derivative of sin(x^2), sin^2(x), and sin(2x) with Chain Rule | Calculus 1 Exercises

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We find the derivative of sinx^2 with the chain rule, sin^2x with the chain rule, and sin2x also with the chain rule. Just for kicks, we also differentiate sin^2lnx at the end. #apcalculus #calculus1

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Thank you, it was so hard to find someone who explained sin^2(x). and what rule to apply, how and why. There is something just strange about this format and how its actually done. Contrasting it against similar examples really hits the ball out the park.

neroslogic

Excellent explanation. Your video is very easy to understand an otherwise confusing problem.

billk

This video is really great at explaining this. I really needed this refresher since I just started calculus 2. Thanks a lot!

TheStalkingEmu

Calculus unchained with the Wrath of Math! 😃

punditgi

Excellent, the 3rd and 4th probs were outside my understanding, so this was perfect for me

KarlSnyder-jhic

Thank you this helped better than my professors explanation.

dolando

Thanks a lots... you really explained very easily 😊

keep-growing

Hello im in 8th and im going to write the indian exam IIT i dont know where to start so i started with deeivatives and integration?.Can you please tell me what the next chapter i should start with.derivatives and integration is too easy for me

thecontentkid

Okay so I've understood everything else but how for (sin^2)x it is sin^2 that is the inside function not x

JanetNakuti-jz

can you simplify the last one to sin(2lnx)/x ?

Anthony_kha

In the 3rd question, why is sin² an inside function bcz its clearly outside the bracket

I really dont know anything, smone please help

harikrishna

Hey guys, I m from europe
I wanted to know what age group of students does it target

basically at what age students learn this integration in your country

Ayush-kxpm

Thank u so much sir 💖 Please do make other vedios like this also 🔥

pragyapandey

what about (sinx)^2 😅 it always confusing my mind. Is it same with "sin^2(x)" ? 🤔

melihaktan

Solve these with first principal method

Benzene

Does the chain rule also apply to d/dx sin(x)? i.e., d/dx sin(x) = cos(x)(1) = cos(x)

angusriffraff

What will the double derivative of sin^2(x) be?

vloggerpogger

thank you, i understood it in a second

davidgao

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