# What is the instantaneous rate of change of #f(x)=-2x^3-8x^2-x # at #x=2#?

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To find the instantaneous rate of change of ( f(x) = -2x^3 - 8x^2 - x ) at ( x = 2 ), calculate the derivative of ( f(x) ) with respect to ( x ), then evaluate it at ( x = 2 ).

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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.

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