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plotnikov2009
@plotnikov2009
July 2022
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Найти точку минимума функции f(x)= -9x^5+90x^4-180x^3-30
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sedinalana
Verified answer
F`(x)=-45x^4+360x³-540x²=-45x²*(x²-8x+12)=0
x=0
x²-8x+12=0
x1+x2=8 U x1*x2=12
x1=2 U x2=6
_ _ + _
-----------------(0)----------------(2)---------------(6)---------------------
min
ymin=f(2)=-9*32+90*16-180*8-30=-288+1440-1440-30=-318
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Answers & Comments
Verified answer
F`(x)=-45x^4+360x³-540x²=-45x²*(x²-8x+12)=0x=0
x²-8x+12=0
x1+x2=8 U x1*x2=12
x1=2 U x2=6
_ _ + _
-----------------(0)----------------(2)---------------(6)---------------------
min
ymin=f(2)=-9*32+90*16-180*8-30=-288+1440-1440-30=-318