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How do you find the point of inflection of a cubic function?

Answer 1

If you want to find an inflection point of a cubic function #f(x)#, then you can find it by solving #f''(x)=0#, which will give you the x-coordinate of the inflection point.

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Answer 2

Evelyn Agard

To find the point of inflection of a cubic function, follow these steps:

Determine the second derivative of the cubic function.
Set the second derivative equal to zero and solve for the value(s) of x.
Plug the values of x obtained in step 2 into the original cubic function to find the corresponding y-coordinate(s).
The point(s) (x, y) obtained in step 3 represent the point(s) of inflection of the cubic function.

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Answer from HIX Tutor

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.