Объяснение:
1)
y'=6x²-2x-4x^-5
2)
y=2x²-x⁴+3
y'=4x-4x³=0
4x(1-x²)=0
4x=0
x=0
1-x²=0
x²=1
x=1
x=-1
f(-1)=2-1+3=4(max)
f(0)=3(min)
f(1)=2-1+3=4(max)
3)
f(x)=6x³+2x-4
F(x)=6x⁴/4+2x²/2-4x = 3x⁴/2 + x² - 4x +C
Объяснение:
1)
y'=6x²-2x-4x^-5
2)
y=2x²-x⁴+3
y'=4x-4x³=0
4x(1-x²)=0
4x=0
x=0
1-x²=0
x²=1
x=1
x=-1
f(-1)=2-1+3=4(max)
f(0)=3(min)
f(1)=2-1+3=4(max)
3)
f(x)=6x³+2x-4
F(x)=6x⁴/4+2x²/2-4x = 3x⁴/2 + x² - 4x +C