Super Slick Quick Derivative Trick #Shorts

The Reciprocal Rule is super helpful BUT there is an even better derivative trick inside the reciprocal rule for derivatives. Let's quickly learn this great trick for derivatives to super charge you differentiation skills in calculus!

#math #brithemathguy #shorts

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Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information.

[adrianh]

or just use power rule.... no need to do quotient rule just make the exponent negative

[mattmatt]

or know that 1/x^3 = x^-3 then apply power rule

[knight]

It's not a trick. It's just an observation. You can come up with lot of tricks like this but you have to also remember them. And that's the tricky part.

[hennesjackobs]

This leaves me in deep confusion. Usually a proper build up is the following:

1) Draw and order graphs of easy polynomials like f(x) = ax^2, f'(x) = 2ax, and f''(x) = 2a.
2) Determine the secant.
3) Determine the limit for the tangent.
4) Derive the the power rule of derivation.
5) Use the definition to derive the product rule.
6) Apply the power rule and product rule to derive the quotient rule.

Under what conditions can actually understand the quotient rule without understanding the product rule in the first place?!

[onradioactivewaves]

That reciprocal always gets one over on something.

[Alimath]

I'm teacher of math from 🇮🇶lraq
We love you bro