How do you find all points of inflection for this function: #y = 4 / (9 + x^2)#?
You must study the second derivative of your function to get:
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To find the points of inflection for the function ( y = \frac{4}{9 + x^2} ), you need to find where the second derivative ( y'' ) changes sign. First, find the first and second derivatives of ( y ) with respect to ( x ). Then, set the second derivative equal to zero and solve for ( x ). The ( x )-coordinates obtained are potential points of inflection. Finally, check the concavity of the function around these points using the second derivative test to confirm if they are points of inflection.
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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.
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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