Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
PhoenixFire
Group Title
How do you find the derivative of
\[{cos(x)}^{cos(x)}\]
 one year ago
 one year ago
PhoenixFire Group Title
How do you find the derivative of \[{cos(x)}^{cos(x)}\]
 one year ago
 one year ago

This Question is Closed

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
interesting
 one year ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
is x raised to cos x? or is cos x raised to cos x?
 one year ago

PhoenixFire Group TitleBest ResponseYou've already chosen the best response.0
cos(x) raised to cos(x). \[(cos(x))^{cos(x)}\]
 one year ago

Chlorophyll Group TitleBest ResponseYou've already chosen the best response.2
Let y = ( cosx )^( cosx) Take ln both sides:...
 one year ago

PhoenixFire Group TitleBest ResponseYou've already chosen the best response.0
\[y=(cos x)^{cos x}\] \[ln y=(cos x)(ln(cos x))\] differentiate both side with respect to x. \[LHS={1 \over y}{dy \over dx}\] RHS=product rule. then rearrange for dy/dx? Yeah?
 one year ago

Chlorophyll Group TitleBest ResponseYou've already chosen the best response.2
Yupe :)
 one year ago

Chlorophyll Group TitleBest ResponseYou've already chosen the best response.2
Actually, ( lny )' = y' / y
 one year ago

PhoenixFire Group TitleBest ResponseYou've already chosen the best response.0
\[{dy \over dx}=ysin x(ln(cos x) + 1)\] That doesn't seem right.
 one year ago

Chlorophyll Group TitleBest ResponseYou've already chosen the best response.2
Then plug y = cosx ^ cosx back
 one year 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.