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Differential Calculus

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 Joined: 29 May 2012 Post: 1
29 May 2012 13:10:07 IST
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If y=|x| then dy/dx=?
Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Differential Calculus

If y=|x| then dy/dx=?

Blazing goIITian

Joined: 16 May 2012
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29 May 2012 13:17:08 IST
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define the function in intervals (0,infinity) =x and(-infinity,0)=-x so respective derivatives would be 1 and -1....REMEMBER to solve by breaking in intervals....

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Joined: 3 May 2012
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29 May 2012 13:18:17 IST
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if x>0 then answer is -1 and if x<0 then answer is 1

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29 May 2012 17:40:19 IST
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y= mod x then dy/dx = |x|/x

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29 May 2012 17:45:39 IST
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X/|X|

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Joined: 18 Apr 2012
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29 May 2012 19:40:34 IST
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it is 1 for all positive x and it is -1 for all negative x.

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Joined: 22 May 2012
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29 May 2012 20:12:32 IST
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u know what??u can't differentiate |x|

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29 May 2012 20:13:36 IST
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sorry incomplete answer deu to server problems...cannot differentiate |x| at x=0 rest u go!!!

Blazing goIITian

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4 Jun 2012 17:43:55 IST
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hello dear

drwa graph of it:

for x> 0 dy / dx = 1

for x< 0 dy / dx = -1

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Joined: 17 Jun 2012
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17 Jun 2012 23:18:17 IST
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not differentiable

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