Let f(x) = x^3 + ax^2. What is the value of a if (a) f has a local minimum at x = 4? (b) f has a point of inflection at x = 6? How do I find a given the local minimum and point of inflection? Thanks.
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Originally Posted by Såxon Let f(x) = x^3 + ax^2. What is the value of a if (a) f has a local minimum at x = 4? (b) f has a point of inflection at x = 6? How do I find a given the local minimum and point of inflection? Thanks. To find a local minimum you should take the first derivative. To find the point of inflection you should take the second derivative.
Ah, i see, thanks.
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