Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Use logarithmic differentiation to find the derivative of the function y = x^x
 2 years ago
 2 years ago
Use logarithmic differentiation to find the derivative of the function y = x^x
 2 years ago
 2 years ago

This Question is Closed

lgbasalloteBest ResponseYou've already chosen the best response.1
y = x^x ln both sides... lny = lnx^x via reverse power rule... lny = xlnx you can use implicit differentiation now...you do know that right/
 2 years ago

calyneBest ResponseYou've already chosen the best response.0
so d/dx(lny) = 1/y * y' and d/dx(xlnx) = x*1/x .....????
 2 years ago

The_geekBest ResponseYou've already chosen the best response.1
it goes lyk tis logy= xlogx diff wrt to x on bth sides so on lhs its 1/y dy/dx=1+logx by product rule on rhs u get 1+logx thn dy/dx =(1+logx)y wer y is nthin bt =x^x
 2 years ago

gordonj005Best ResponseYou've already chosen the best response.0
one of my favourite derivatives. an alternative to the ones suggested above: y = e^log(x^x) = e^xlog(x) which you can differentiate using the chain rule
 2 years ago

calyneBest ResponseYou've already chosen the best response.0
thx guys you just walked me through my first ever log diff problem
 2 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.