Understand Chain Rule in 39.97 Seconds!

What is Chain Rule? How to differentiate using the Chain Rule?
The Chain Rule is used for finding the derivative of composite functions. For this example, it is impossible to expand the brackets one by one as the exponent is extremely large. Therefore, the Chain Rule is used here for differentiation. We can separate the function into inner and outer function to make the differentiation easier. First, differentiate the outer function using power rule without modifying the inner function. Then, multiplying it with the derivative of the inner function.

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Chain Rule Full Explanation Video:

[EDYN]

And then the Devil said, "Put the alphabet in the math."

[justabunga]

Not the simplified form, but you can pull out the factor of 4 as

[Zetsu_MK]

W video i didnt understand the chain rule til now 🔥🔥

[braillejansen]

Can it be written as dy/dx = 199(u^198) du/dx

[aymantanveer]

thanks for making it enough easier and clear to understand ...i understanding chain rule for last 30 min but i can't....so i decided to learn a short trick ....and i got your video...now its easier ...and is less time taking ....for objective specially...

[AdityaKumar-tqkv]

In the second chain(red part) just write d/dx and function not dy/dx function

[ceoflippers]

y=(2x^2+4x-3)^199

let z = 2x^2+4x-3
dz/dx = 4x+4
since y=(2x^2+4x-3) and z=2x^2+4x-3,
y= z^199
dy/dz= 199z^198

Multiplying the two derivatives we get:
dy/dz * dz/dx = dy/dx

and

dy/dz * dz/dx = 199z^198 * 4x+4

so we know that:
dy/dx = 199(4x+4)z*198
and since z = 2x^2+4x-3

dy/dx = 199(4x+4)(2x^2+4x-3)^198

the chain rule is just disguised substitution i just realised this omg

[Fizcakesprite]

You didn't even give us the rule.

[mdasifeqbal]

Chain rule is differentiating dy/dx which is not correct. It should be d/dx.
Please recheck.

[cg]

199(2x^2+4x-3)^198*(4x+4) Then simplify

[anthonyhurtado]

Why don't you have a Nobel prize?

[johnnolen]

Your notation on line 4 is a bit messed up; and therefore, misleading. dy/dx is what you're solving for. You should have written d/dx (2x^2 + 4x - 3). In an effort to work things out rapidly don't become so zealous that you get them wrong.

[DabouriPhonepromax]

Good explanation it is helpful for me thank you very much ❤❤❤

[AliceGombanke]

39.9os is the exact time of the video right 👍▶️

[Studygoal]

Can anybody plz tell abt how we got 4x+4 as the derivative i dont know how to extract that

[theghosttiger]

Well cuddle my kittens! I understand it!

[neilowencrosales]

wtf i thougth my teacher want me to expand

[Wasiq.Graphic.Tutorials]

where's the chain rule
you solve the problem with power rule

[f.r.y]

y = (2x²+4x-3)¹⁹⁹

let u = 2x²+4x-3 -> y = u¹⁹⁹

dy/dx = dy/du • du/dx
dy/dx = d(u¹⁹⁹)/du • d(2x²+4x-3)/dx
dy/dx = 199u¹⁹⁸ (4x+4)
dy/dx = 199 (4x+4)(2x²+4x-3)¹⁹⁸