| x3 | ||
f(x)= | ||
| (x−1)2 |
| (x3)'*(x−1)2 − x3*[(x−1)2]' | ||
f'(x) = | =
| |
| [(x−1)2]2 |
| 3x2*(x−1)2 − x3*[(2(x−1)]*1 | 3x2(x2−2x+1)−x3(2x−2) | |||
= | = | =
| ||
| [(x−1)2]2 | (x−1)4 |
| 3x4−6x3+3x2−2x4+2x3 | x4−4x3+3x2 | |||
= | = | |||
| (x−1)4 | (x−1)4 |
| 3x2(x − 1)2 − 2(x − 1)x3 | x2(x − 1)(3x − 3 − 2x) | |||
f'(x) = | = | = | ||
| (x − 1)4 | (x − 1)4 |
| x2(x − 3) | ||
= | ||
| (x − 1)3 |