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 2 years ago
y=3(x+2)²
differentiate it please, but do it via substitution method, i can differentiate this but i can not do the substitution method
 2 years ago
y=3(x+2)² differentiate it please, but do it via substitution method, i can differentiate this but i can not do the substitution method

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satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2the derivative of something squared is two times something, times the deriavtive of something

amorfide
 2 years ago
Best ResponseYou've already chosen the best response.0LOL i know how to do it i just cant do the whole let u= ...

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2or you can multiply out an get \[3(x^2+4x+4)=3x^2+12x+12\]\]

amorfide
 2 years ago
Best ResponseYou've already chosen the best response.0i know i multiply by the power take one off then multiply by derivative of the inside of bracket but i need the substitution method

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2then ignore it, it is a crutch. if you know the chain rule it is entirely unnecessary to say \(u=x+2\) \(y=u^2\) etc

precal
 2 years ago
Best ResponseYou've already chosen the best response.0yes, but I believe those were the given instructions

amorfide
 2 years ago
Best ResponseYou've already chosen the best response.0i really would love the substitution method explained

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2i guess you would say \[u=x+2\] \[y=3u^2\] etc etc, but it is silly

amorfide
 2 years ago
Best ResponseYou've already chosen the best response.0ahhhh okay, then dy/du=6u then du/dx=1 mutliply then substitute u thank you <3

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2you have a composition of functions 1) first add 2 2) then square the result, multiply by 3 inner function can be written as \(u=x+2\) outer as \(y=3u^2\)

amorfide
 2 years ago
Best ResponseYou've already chosen the best response.0so i substitute u= then y is equal to the new equation with u substituted thank you!

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2yes, that is correct you get \[6u=6(x+2)\]

precal
 2 years ago
Best ResponseYou've already chosen the best response.0do you know the chain rule?

precal
 2 years ago
Best ResponseYou've already chosen the best response.0Take the derivative of the inside, take the derivative of the outside leave the inside alone

amorfide
 2 years ago
Best ResponseYou've already chosen the best response.0i know that wy i was struggling with the substitution method i know how to do it straight away though

precal
 2 years ago
Best ResponseYou've already chosen the best response.0technically the sub method is the chain rule..
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