# What is the instantaneous rate of change of #f(x)=(x-1)^2-4x# at #x=1#?

Instantaneous rate of change f'(1) =-4

At x=1, the instantaneous rate would be provided by f'(x).

f'(1) = -4 at x=1; f'(x)= 2(x-1)-4

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The instantaneous rate of change of (f(x) = (x-1)^2 - 4x) at (x=1) is 0.

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