Question

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

Answer 1

the derivative of something squared is two times something, times the deriavtive of something

Answer 2

LOL i know how to do it i just cant do the whole
let u= ...

Answer 3

or you can multiply out an get
\[3(x^2+4x+4)=3x^2+12x+12\]\]

Answer 4

i know i multiply by the power take one off
then multiply by derivative of the inside of bracket
but i need the substitution method

Answer 5

use chain rule

Answer 6

then 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

Answer 7

yes, but I believe those were the given instructions

Answer 8

i really would love the substitution method explained

Answer 9

i guess you would say
\[u=x+2\]
\[y=3u^2\] etc etc, but it is silly

Answer 10

ahhhh okay, then dy/du=6u
then du/dx=1
mutliply
then substitute u

thank you <3

Answer 11

you 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 \(y=3u^2\)

Answer 12

so i substitute u=
then y is equal to the new equation with u substituted
thank you!

Answer 13

yes, that is correct you get
\[6u=6(x+2)\]

Answer 14

do you know the chain rule?

Answer 15

Take the derivative of the inside, take the derivative of the outside leave the inside alone