求导 运算过程

请问f(x)到f✀(x)的过程是怎样的
2025-04-10 19:30:46
推荐回答(1个)
回答1:

2(x-1)²(2x+1)
解析:
f(x)=x²+(x²-x-1)²
f'(x)
=[x²+(x²-x-1)²]'
=2x+2(x²-x-1)*(x²-x-1)'
=2x+2(x²-x-1)(2x-1)
=2(x+2x³-2x²-2x-x²+x+1)
=2(2x³-3x²+1)
=2(x-1)(2x²-x-1)
=2(x-1)²(2x+1)