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?
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 $x=-2$.