# How do you find the critical numbers of #s(t)=3t^4 + 12t^3-6t^2#?

The critical points of a function is where the function's derivative is zero or undefined.

We begin by finding the derivative. We can do this using the power rule:

The function is defined for all real numbers, so we won't find any critical points that way, but we can solve for the zeroes of the function:

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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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