# How do you find the derivative of #abs(x-1)#?

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To find the derivative of abs(x-1), you can use the definition of the absolute value function and apply the rules of differentiation. The derivative of abs(x-1) is given by:

d/dx [abs(x-1)] = (x-1) / abs(x-1)

However, if x = 1, the absolute value function is not differentiable. So, the derivative exists for all x ≠ 1.

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