# What is the instantaneous rate of change of #f(x) = e^x# when #x = 0#?

The derivative is the rate of change that occurs instantly.

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The instantaneous rate of change of ( f(x) = e^x ) when ( x = 0 ) is ( 1 ).

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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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