# How do I find the derivative of #3e^(-12t) #?

You can use the chain rule.

The 3 is a constant, it can be kept out:

It's a mixed function. The outer function is the exponential, and the inner is a polynomial (sort of):

Deriving:

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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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