Q.1
g(t)=[e^(3t)+1]^5
find dy/dx
Q.2
y=x^x
find dy/dx
math derivative3
2008-12-14 5:56 am
回答 (1)
2008-12-18 8:40 am
✔ 最佳答案
Q.1g(t) = (e3t + 1)5
g’(t)
= d(e3t + 1)5/dt
= [d(e3t + 1)5/d(e3t + 1)] • [d(e3t + 1)/dt]
= 5(e3t + 1)4(3e3t)
= 15e3t(e3t + 1)4
=====
Q.2
y=xx
lny = xlnx
d(lny)/dx = d(xlnx)/dx
[d(lny)/dy] • (dy/dx) = x[d(lnx)/dx] + (lnx)dx/dx
(1/y)(dy/dx) = x(1/x) + lny
(1/xx)(dy/dx) = 1 + xlnx
dy/dx = xx(1 + xlnx)
=
收錄日期: 2021-04-23 23:05:21
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20081213000051KK02002