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Differential Calculus

Blazing goIITian

Joined:	19 Feb 2007
Post:	1802

13 Sep 2007 15:33:32 IST

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248

lcd-2

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q) Find number of points where |x² + x| + |x - 1| is non-differentiable.

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Anshuman Johri

Blazing goIITian

Joined: 27 Jan 2007

Posts: 559

13 Sep 2007 15:49:15 IST

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just redefine the function and draw the graph

the function is non differentiable at 3 pts

Gaurav |spideyunlimited| Ragtah

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Joined: 16 Dec 2006

Posts: 3373

17 Sep 2007 18:10:27 IST

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3 points.
mod x^2 + x is positive for x less than equal to -1, negative for between -1 and 0, and positive for x greater than 0.
so 2 points here
and the second one is non differentiable at 1,

hence 3 points in all

*PLZ RATE*

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