# How do you find the inflection points of #f(x)=3x^5-5x^4-40x^3+120x^2#?

The inflection points are

Now we factor you should get:

Now set the factors equal to zero:

Solve them and you should get:

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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.

- For what values of x is #f(x)=-x^3-4x^2+2x+5# concave or convex?
- What are the points of inflection of #f(x)= xe^(x^2) - x^2e^x #?
- How do you determine the values of x for which the graph of f is concave up and those on which it is concave down for #f(x) = 6(x^3) - 108(x^2) + 13x - 26#?
- How do you determine the intervals where #f(x)=3x-4# is concave up or down?
- How do you find all critical point and determine the min, max and inflection given #f(x)=3x^2-4x+1#?

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