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the derivative of | f(x) | is f(x) f'(x)/|f(x)|

I say it was fishy because of the choices that came with this problem

something about
A) 1
B) 0
C) -1
D) can't remember

I don't know if those were the choices actually

they are asking for f'(1)

I broken into a piecewise function

so that means that first I have to find the derivate function and then plug 1?

yes

f(x) = 3a|4x – 4| – ax, or
f(x)= 12a | x -1| -ax
the derivative is
12 a (x-1)/| x-1| - a

hopefully the a is not zero right
it should really specify that the constant is not zero

well that already says f' doesn't exist at x=1 we don't have to do the limit thing

I would say not enough info because we don't know if a is 0 or not

you get two difference answers for two difference cases of a

is that a modulus or a bracket?

if you want me to explain the piecewise function more I can by the way @Joseluess

if you want

yes please, I am a little confused

yes I know what you're talking about

but when x>1 what is the derivative of |4x-4| aka 4x-4 since |4x-4|=4x-4 for when x>1

so summary of it all
f'(1) can be 0 or doesn't exist

the information that doesn't allow us to say which is all dependent on what a is

Okay, so that's why the answer it not enough right? okay I understand it better thanks

np