what is the derivative of |x|?

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Solution

$y = | x | C a s e (1) : W h e n x > 0, | x | = x S o, \frac{d y}{d x} = \frac{d}{d x} (x) = 1 C a s e (2) : W h e n x = 0, | x | = 0 W e k n o w t h a t, d e r i v a t i v e o f | x | a t x = 0 i s n o t p o s s i b l e . C a s e (3) : W h e n x < 0, | x | = - x S o, \frac{d y}{d x} = \frac{d}{d x} (- x) = - 1$

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