(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

In my book it specifically asks to "find the points of inflection" of f (x) = 2x^3 + 9x^2 - 24x - 10.

2. Relevant equations

f (x) = 2x^3 + 9x^2 - 24x - 10

f'(x) = 6x^2 + 18x - 24

f''(x) = 12x + 18.

3. The attempt at a solution

What I don't get is why it asks for pointS.Isn't there just a single point here?Or can you get them not only by using the second derivative?

I.e., set f"x = 0. Yet here only one point does that, not multiple ones? :S Could it be just a typo in the book?

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# Find points of inflection from f''(x) = 12x + 18? A bit confused

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