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Mathematics 8 Online
OpenStudy (anonymous):

medal

OpenStudy (anonymous):

@phi

OpenStudy (anonymous):

i got 1

OpenStudy (freckles):

I think you should think about the left and right derivative as x->3 of that absolute value part

OpenStudy (anonymous):

okk

OpenStudy (anonymous):

JK ITS 0 THANKS

OpenStudy (freckles):

|x|=x if x>0 |x|=-x if x<0 |x|=0 if x=0 therefore there is a sharp derivative at x=0 of the function f(x)=|x| so actually the derivative of |x| is 1 if x>0 -1 if x<0 dne if x=0

OpenStudy (freckles):

So think about |3x-9|

OpenStudy (freckles):

at x=3

OpenStudy (freckles):

Think about graph if you have too

OpenStudy (freckles):

Is there a sharp turn?

OpenStudy (freckles):

When you write it as a piece function do the slopes match up on both sides at x=3

OpenStudy (phi):

an absolute value function makes a sharp "V" at the vertex, the sudden change in direction makes the slope at that point undefined. in other words, you should not expect a value for the derivative of your function at x=3

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