SOLUTION: Find the point of inflexion(x,y), if f(x) = 2x^3-24x+x^2+5

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Question 862900: Find the point of inflexion(x,y), if f(x) = 2x^3-24x+x^2+5
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the point of inflexion(x,y), if f(x) = 2x^3-24x+x^2+5
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f(x) = 2x^3-24x+x^2+5
f'(x) = 6x^2 + 2x - 24
f''(x) = 12x + 2
f''(x) = 0 --> x = -1/6
f(-1/6) = -2/216 + 24/6 + 1/36 + 5 = (-2 + 864 + 6 + 1080)/216 = 1948/216
Inflection at (-1/6,487/216)