Question

can someone plz explain this to me

Answer 1

@phi

Answer 2

just take a derivaitve :)

Answer 3

some people like to piecewise the function since the absolute value bars messes with their minds

Answer 4

The thing to note is that the absolute value function has a discontinuous derivative at its inflection point (0).

Answer 5

I actually suggest pieceiwsing it

Answer 6

and doing left and right derivative

Answer 7

|f(x)|' = f(x)/|f(x)| * f'(x) if memory serves

Answer 8

ok(: so the derivative would be 1?

Answer 9

That isn't what I'm saying. :p

Answer 10

for example

say f(x) = |x^3|

f' = 3x^2 x^3/|x^3|

Answer 11

Let's think about g(x)=|x-1|
What happens to the graph x=1?

Answer 12

Like is there some kinda sudden change, a sharp turn?

Answer 13

Do the slopes make a sudden jump?

Answer 14

no

Answer 15

So if we looked at h(x)=|x|