# How do you determine where the function is increasing or decreasing, and determine where relative maxima and minima occur for #f(x) = x^2e^x - 3#?

Given:

consider the derivative of the function:

Solve now the inequality:

graph{x^2e^x-3 [-10, 10, -5, 5]}

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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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