# For what values of x is #f(x)= -5x^3+x^2+4x-12 # concave or convex?

graph{-5x^3+x^2+4x-12 [-22.47, 28.85, -20.56, 5.1]}

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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)= e^x/(x^2-x) -e^x# concave or convex?
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- What is the second derivative of #f(x)= secx^2#?
- What are the points of inflection of #f(x)=4 / (2x^2- 7x - 4#?

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