# How do you find the maximum value of #3x^2-x^3#?

graph{3x^2 - x^3 [-12.66, 12.66, -6.33, 6.33]}

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To find the maximum value of the function ( f(x) = 3x^2 - x^3 ), you need to find the critical points by taking the derivative of the function and setting it equal to zero. Then, you can determine whether each critical point is a maximum or minimum by using the second derivative test or by analyzing the behavior of the function around those points. Finally, you compare the values of the function at the critical points and the endpoints of the interval you're considering to find the maximum value.

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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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