f(x)=((x^3)(ln x^2)) find f'(x

2015-06-11 9:15 am
f(x)=((x^3)(ln x^2))
find f'(x)

回答 (2)

2015-06-11 9:38 am
✔ 最佳答案
f'(x) = (3x^2)(ln x^2) + (x^3)(1/x^2)(2x)
f'(x) = x^2 (3lnx^2+2)

2015-06-11 17:51:47 補充:
係喎冇抽到個2出嚟 多謝提醒
f'(x) = 2x^2 (3lnx+1)
2015-06-11 4:08 pm
Toi Lam 的答案也是正確的。

f(x) = x³ (ln x²)
  = 2x³ (ln x)

f'(x) = 6x² (ln x) + 2x³ (1/x)
  = 6x² (ln x) + 2x²
  = 2x² (3 ln x + 1)


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