# How do you find all points of inflection given #y=-(x+2)^(2/3)#?

There are no points of inflection.

The concavity does not change, so there are no inflection points.

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To find points of inflection, find the second derivative, set it equal to zero, and solve for x. Then, determine the corresponding y-values.

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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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- Is #f(x)=4x^5-x^4-9x^3+5x^2-7x# concave or convex at #x=-1#?
- How do you find the exact relative maximum and minimum of the polynomial function of #f(x) = x^3 + 4x^2 - 5x#?
- How do you use the first and second derivatives to sketch #y = x - ln |x|#?

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