Given the derivative rule for the absolute value function
$$\frac{ d }{ dx } [|x|] = \frac{ x }{ |x| }$$ determine the derivative of
$$\frac{ d }{ dx } [|4x ^{2}-9x+2|]$$

so far I got
$$\frac{ (x-2)(4x-1)(8x-9) }{ |(x-2)(4x-1)| }$$ can this be simplified down more? if so, how?

Question

Given the derivative rule for the absolute value function
$$\frac{ d }{ dx } [|x|] = \frac{ x }{ |x| }$$ determine the derivative of
$$\frac{ d }{ dx } [|4x ^{2}-9x+2|]$$

so far I got
$$\frac{ (x-2)(4x-1)(8x-9) }{ |(x-2)(4x-1)| }$$ can this be simplified down more? if so, how?

undeadknight26 · Answer

I know i good guy here @hartnn Hopefully he can help u :D

hartnn · Answer

i think thats simplified nicely :) 
all you can do is to use 
$\large |a|=\sqrt {a^2}$
for the denominator.
but thats just writing in another form, not simplification.

jigglypuff314 · Answer

okay, thank you! :)

hartnn · Answer

welcome ^_^