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What are the inflection points for $f (x) = - x^{4} - 9 x^{3} + 2 x + 4$ $f(x) = -x^4-9x^3+2x+4$ ?

1 Answer

May 14, 2015

f'(x)= $- 4 x^{3} - 27 x^{2} + 2$ $-4x^3 -27x^2 +2$

f"(x)= $- 12 x^{2} - 54 x$ $-12x^2-54x$

Inflection points would be given by f''(x)=0, that is $- 12 x^{2} - 54 x$ $-12x^2-54x$ =0,

=-6x( 2x+9)=0
x= 0, $- \frac{9}{2}$ $-9/2$ are the inflection points.

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