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 = (cosx)^x
 2 years ago
 2 years ago
Use logarithmic differentiation to find the derivative of the function y = (cosx)^x
 2 years ago
 2 years ago

This Question is Closed

mf1021Best ResponseYou've already chosen the best response.3
take the log both sides. lny=xln(cosx)
 2 years ago

mf1021Best ResponseYou've already chosen the best response.3
and take derivative both sides
 2 years ago

mf1021Best ResponseYou've already chosen the best response.3
y prime/y= (ln(cosx))+x(1/cosx)(sinx) and isolate y prime and you are done
 2 years ago

robtobeyBest ResponseYou've already chosen the best response.0
\[\int\limits \text{Cos}[x]^x (\text{Log}[\text{Cos}[x]]x \text{Tan}[x])dx = \text{Cos}[x]^x \]
 2 years ago

Ayesha1603Best ResponseYou've already chosen the best response.0
put ln on both sides to get \[\ln y =x \ln cosx\] then differentiate to get \[1/y =1\times sinx\]
 2 years ago

SarkarBest ResponseYou've already chosen the best response.0
also you can use formula for logarithmic differentiation... d/dx(u^v)=u^v*d/dx(v*log u )
 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.