Question

Построить график y= x⁴+2x³-12x²-5x+2

Answer 1

$y=x^{4}+2x^{3}-12x^{2}-5x+2 \ y'=4x^{3}+6x^{2}-24x-5=0 \ x(4x^{2}+6x-24)=5 \ x_{1}=5 \ 4x^{2}+6x-24=5 \ x_{2,3}=frac{-6pmsqrt{420}}{8} \ y''=(4x^{2}+6x-24)' \ 12x^{2}+12x-24=0 \ x^{2}+x-2=0 \ x_{3}=1 \ x_{4}=-2$