Find the inflection points.

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Find the local extreme points and inflection points of $y=2x^3 + 3x^2 - 12x.$

I know how to find the extreme points, but am confused on the inflection points. We use the second derivative to found those right?

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Hint: Where the second derivative is equal to zero or undefined.

Here we have $$f''(x) = 12 x + 6 = 0$$

Can you take it from here?

You should have also found a local minimum at $x=1$ and a local maximum at $x=-2$.