How to memorize Quotient Rule in Differentiation

The quotient rule is actually the product rule in disguise and is used when differentiating a fraction.

The quotient rule states that for two functions, u and v,
y = u/v where u and v are functions of x
Then dy/dx = [v(du/dx)-u(dv/dx)]/v²

You can use the product rule and the chain rule on y = uv⁻¹ to derive this formula.
All formulas of differential equations are derived from first principles.
#Differentiation #Calculus using #Quotient rule

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[TheLemon]

i remember by bdt-tdb over b squared. "how do you remember the order?" you always start building from the bottom

[isacklaizer]

Thanks brother this is very helpful. 🙏🙏🙏

[sanjeedfaruque]

Thank you, i got it the other way around, bottom derivative times top minus bottom times top derivstive, no wonder i keep getting quotient rule wrong, i feel like an idiot😂.

[reload]

Dash notation instead of d/dx in these rules makes them much easier to follow: (BT' - TB' )/B^2

[dekiverse]

Thank you so much sir, calling them top & bottom is def going to help me😂❤ idk how i learnt them back in highschool but this will get me through uni now🙏🏻

[TGgammer-M]

iam India muZe inglish nahi aati he gret Bhai🤗😘🇮🇳

[AcidMushTV]

low d high, high d low, over bottom squared

[NaveenRaajK]

Bro In India we use the same formula but in a very remembering way bro it is

U/V = VU' - UV' / V^2

WHERE THE U' IS THE DERIVATIVE OF U AND V' IS THE DERIVATIVE OF V

[prince-kk]

We don't know to speak English betterly but l know to speak little bit