<span>y=(x²-8)²
y=x²-8
левые части равны значит и правые равны
</span><span>(x²-8)²=x²-8
</span>(x²-8)²-(x²-8)=0
(x²-8)((x²-8)-1)=0
(x²-8)(x²-9)=0
(x²-8)(x-3)(x+3)=0
x1=√8 y=0
x2=-√8 y=0
x=3 y=1
x=-3 y=1
8а³+27=(2а)³+3³=(2а+3)(4а²-6а+9)
а) f(x) = 4√x + x² - 2x
f'(x) = 4 * 1/(2√x) + 2x - 2 = 2/√x + 2x - 2
f'(x₀) = 2/√4 + 2 * 4 - 2 = 2/2 + 8 - 2 = 7
б) f(x) = (x³+x)(x²-1) = x⁵ - x³ + x³ - x
f'(x) = 5x⁴ - 1
f'(x₀) = 5 * (-1)⁴ - 1 = 5 * 1 - 1 = 4
F(x)=x³-3x²
f`=3x²-6x=3x(x-2)
x=0
x=2
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