可否詳細解釋一下爲何 x^f(t) 的differentiation是 ln(x)x^f(t) f '(t)?
例如 f(x,y,z)=x^(y^z)
df/dy=ln(x) x^(y^z) zy^(z-1)
Thank you!
Differentiation of x^f(t)
2011-10-08 7:05 am
回答 (1)
2011-10-08 8:22 am
✔ 最佳答案
Since d(a^x)/dx is a^x lna.Then using chain rule and view x as the function of t
d(x^f(t))/dt
= d(x^f(t))/d(f(t)) * d(f(t))/dt
= lnx x^f(t) f'(t)
收錄日期: 2021-04-26 14:54:55
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20111007000051KK00854