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Differential Calculus

Blazing goIITian

Joined:	6 Mar 2010
Post:	380

10 Mar 2010 11:18:02 IST

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what is the differentiation of |x|

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what is the differentiation of |x|

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Deepak Aggarwal

Blazing goIITian

Joined: 9 May 2009

Posts: 766

10 Mar 2010 16:18:19 IST

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y = |x|

So, dy/dx = ( x / |x| ) d(x)/dx

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Transmigrator

Blazing goIITian

Joined: 21 May 2008

Posts: 426

10 Mar 2010 17:26:28 IST

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Mod(x) is a function which is not differentiable at x = 0.....................This means you can't have a general expression by applying the dy/dx operator. However, you can break it down as shown below:

d[mod(x)]/dx = 1when x>0, -1 when x< 0 and doesn't exist for x = 0

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Blazing goIITian

Joined: 11 Apr 2009

Posts: 672

27 Mar 2010 23:39:18 IST

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draw the graph of mod x ,....u wud see it has a corner at 0 ...so it isnt differentiable dere!...but do it the transmigrator way!

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