Chain Rule (2 of 3: Combining derivatives)

[@sohaibhassan3480]

#eddie Dear sir, I appreciate your teaching methodology and sending love from Pakistan.

[@michaelwebb5678]

So good.

[@itsankur8745]

U can just defrentiate x²-4 again multiplying it by 3(x²-4)²

[@maxthomas-bland4842]

Yes that is the chain rule.......

[@MuhammadUsman-ew5ql]

@@maxthomas-bland4842 🤣🤣

[@Sky-zg8lz]

What grade is this?

[@lloydpierre9444]

It's either an AP Calculus class or a Calculus 1 course in college

[@FartGamer39]

Year 11 Advanced Math (For Aus)

[@harshitjoshi3082]

@Eddie Woo but even if we use the power rule for (X^2 - 4)^3 wouldnt the result be the same ?

[@elsharaawy8662]

Mr. Woo I hate to disagree but if reconsider the question that your student asked I see nothing wrong with that approach because you get the same answers

[@phantasy8921]

Actually, after you do the first step of that approach, you have to times it with the derivative of the inside. So the answer is different. And if you're wondering why Mr. Woo is teaching them this way instead of the other method which is faster is because by doing it this way, they can understand what the chain rule really is with dy/du and du/dx.

[@Sh.moon.]

Are you serious lol

[@HDitzzDH]

Because most of the time you will not get the same answer, the only reason we got the same answer on the (x+2)^3 example is because the inner derivative is 1, but usually it's more complicated than that.

[@tiffanynguyen1888]

@@HDitzzDH yeah but I wished he explained it better to the student then "it just doesn't work." Maybe that is the case though and there's no reason why it doesn't work, it just doesn't so we use something else