Hi guys... I have this problem that i need to verify. I did it but i just want one of you guys to maybe check to see if it is correct.(adsbygoogle = window.adsbygoogle || []).push({});

problem: find the points of inflection on the curve

y = -3x^4 + 4x^3 +36x^2

so first i found y'' = -36x^2 + 24x + 72 = 0

since b^2 - 4ac is not a perfect square i had to use the formula

x = [ -b + sqrt(b^2 - 4ac) ]/2a

and

x = [ -b - sqrt(b^2 - 4ac) ]/2a

by using these i get the values of x as

x = -1.1196

and x = 1.7863

so the points of inflection are (-1.1196, 34.79) and (1.7863, 107.12)

Thanks in advance

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# Homework Help: Point of inflection question

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