(x^2-x+1)^5-x^5+4(x^2)-8x+4=0导数

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(x^2-x+1)^5-x^5+4(x^2)-8x+4=0导数

(x^2-x+1)^5-x^5+4(x^2)-8x+4=0导数
(x^2-x+1)^5-x^5+4(x^2)-8x+4=0
导数

(x^2-x+1)^5-x^5+4(x^2)-8x+4=0导数
-8 + 8 x - 5 x^4 + 5 (-1 + 2 x) (1 - x + x^2)^4
=-13 + 38 x - 90 x^2 + 180 x^3 - 260 x^4 + 270 x^5 - 210 x^6 + 120 x^7 - 45 x^8 + 10 x^9

f(x)=(x²-x+1)^5-x^5+4x²-8x+4;
f’(x)=5[(x²-x+1)^4][2x-1]-5x^4+8x-8=5[(x²)^4+4(x²)³(1-x)+6(x²)²(1-x)²+4x²(1-x)³+(1-x)^4][2x-1]-5(x²)²+8x-8

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