A community for students.
Here's the question you clicked on:
 0 viewing
 one year ago
what is the first step in finding the first derivative using logarithmic differentiation for y = (cos x)^(sin x)?
 one year ago
what is the first step in finding the first derivative using logarithmic differentiation for y = (cos x)^(sin x)?

This Question is Closed

phuchh1402
 one year ago
Best ResponseYou've already chosen the best response.0Isn't you have to move sin(x) like this => y = sin(x)ln(cos(x))?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.0almost, the first step is to just log each side

electrokid
 one year ago
Best ResponseYou've already chosen the best response.0\[y=(\cos x)^{\sin x}\] take a logarithm on the both sides

amistre64
 one year ago
Best ResponseYou've already chosen the best response.0ln(y) = sin(x) ln(cos(x))

phuchh1402
 one year ago
Best ResponseYou've already chosen the best response.0then take derivative both side sin = cos and cos = sin

El_Tucan
 one year ago
Best ResponseYou've already chosen the best response.0right right right! :)

amistre64
 one year ago
Best ResponseYou've already chosen the best response.0i think you dropped a negative on the ln cosx chain

amistre64
 one year ago
Best ResponseYou've already chosen the best response.0\[sin(x)~ln(cos(x))\] \[cos(x)~ln(cos(x))+sin(x)~\frac{sin(x)}{cos(x)}\] \[cos(x)~ln(cos(x))sin^2(x)~\frac{1}{cos(x)}\]

amistre64
 one year ago
Best ResponseYou've already chosen the best response.0or you might have just went another way to get to the same thing :)

amistre64
 one year ago
Best ResponseYou've already chosen the best response.0the end result looks fine tho.
Ask your own question
Sign UpFind more explanations on OpenStudy
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.