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/sci/ - Science & Math

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7461437 No.7461437 [Reply] [Original]

differentiate |x|
if you get the answer , i hope you don't mind explaining how you got it .

>> No.7461452

|x|=√x^2

>> No.7461478

<span class="math">|x| \in \mathbb{R}[/spoiler] for every <span class="math">x[/spoiler]. The derivative of any real number is simply <span class="math">0[/spoiler].

>> No.7461507

>>7461478
Nope.
For x>0, d(abs(x))/dx = 1.
For x<0, d(abs(x))/dx=-1.
For x=0, d(abs(x))/dx is undefined.

This is intuitive for the graph of the function.

>> No.7461511

>>7461437
PIC RELATED

>> No.7461515
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7461515

>>7461437
PIC RELATED (forgot to post pic in the first post..)

>> No.7461519

>>7461515
This is accurate only when x=/=0.

>> No.7461584

>>7461507
you didn't get it, did you?

>> No.7461585

>>7461519
Actualy it's accurate even when x=0. 0/|0| is not defined, and d(|x|)/dx is not defined as well

>> No.7461609

>>7461437
<div class="math"> |x|=\sqrt{\left(x^2\right)} </div> Then apply the chain rule.

>> No.7461638

>>7461507

isn't this the correct answer

why are you fags spouting faggot shit

>> No.7461677
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7461677

>>7461478

>> No.7462223

>>7461507
>function
What function it just says x