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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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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