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chiscola
@chiscola
August 2022
2
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Исследование функции y=3x^3-x^2
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sedinalana
Verified answer
Y=3x^3-x^2
D(y)∈(-∞;∞)
y(-x)=-3x^3-x^2 ни четная,ни нечетная
y`=9x^2-2x=x(9x-2)=0
x=0 x=2/9
+ _ +
----------------(0)---------------(2/9)-------------
возр max убыв min возр
ymax=0
ymin=3*8/729-4/81=8/81-4/81=4/51
y``=18x-2=0
x=1/9 y=3*1/729-1/81=(1-9)/729=-8/729
(1/9;-8/729) точка перегиба
_ +
--------------------(1/9)-------------------
выпук вверх вогн вниз
1 votes
Thanks 1
Zuipol
Y=3x^3-x^2
D(y)∈(-∞;∞)
y(-x)=-3x^3-x^2 ни четная,ни нечетная
y`=9x^2-2x=x(9x-2)=0
x=0 x=2/9
0 votes
Thanks 0
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Answers & Comments
Verified answer
Y=3x^3-x^2D(y)∈(-∞;∞)
y(-x)=-3x^3-x^2 ни четная,ни нечетная
y`=9x^2-2x=x(9x-2)=0
x=0 x=2/9
+ _ +
----------------(0)---------------(2/9)-------------
возр max убыв min возр
ymax=0
ymin=3*8/729-4/81=8/81-4/81=4/51
y``=18x-2=0
x=1/9 y=3*1/729-1/81=(1-9)/729=-8/729
(1/9;-8/729) точка перегиба
_ +
--------------------(1/9)-------------------
выпук вверх вогн вниз
D(y)∈(-∞;∞)
y(-x)=-3x^3-x^2 ни четная,ни нечетная
y`=9x^2-2x=x(9x-2)=0
x=0 x=2/9