if-y-x-3-x-2-3x-find-its-turning-point-

Question Number 24598 by *D¬ B£$T* last updated on 22/Nov/17

i f y = x^{3} + x^{2} + 3 x \dots .

f i n d i t s t u r n i n g p o i n t

Answered by jota+ last updated on 23/Nov/17

\frac{d^{2} y}{{d x}^{2}} = 6 x + 2 = 0

\Rightarrow x = - \frac{1}{3} .

Answered by mrW1 last updated on 23/Nov/17

\frac{d y}{d x} = 3 x^{2} + 2 x + 3 = 3 {(x + \frac{1}{3})}^{2} + \frac{8}{3} > 0

\Rightarrow t h e r e i s n o t u r n i n g p o i n t .

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