# How do you find points of inflection and determine the intervals of concavity given #y=3/(x^2+4)#?

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To find points of inflection and determine intervals of concavity for ( y = \frac{3}{x^2 + 4} ), follow these steps:

- Find the second derivative of the function.
- Set the second derivative equal to zero and solve for ( x ).
- Determine the sign of the second derivative in the intervals defined by the critical points found in step 2.
- Points of inflection occur where the sign of the second derivative changes.
- Use the sign of the second derivative to determine the intervals of concavity.

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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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