Ask
your own question, for FREE!
Mathematics
9 Online
find dy/dx if x^y+y^x=a^b find dy/dx if x^y+y^x=a^b @Mathematics
Still Need Help?
Join the QuestionCove community and study together with friends!
sorry aravind, gtg; was just checking something from last night :{
plz help
ok take .. u=y^x and v=x^y and u + v=a^b
\[\frac{du}{dx}+\frac{dv}{dx}=0\]
\[\frac{du}{dx}+\frac{dv}{dx}=0 --- (1)\] u=y^x log u=x log y differentiating w.r.t x, on both sides \[\frac{1}{u}\frac{du}{dx}=x \frac{d}{dx} (logy) + \log y \frac{d}{dx}(x)\] \[=x \frac{1}{y}\frac{dy}{dx}+logy\] \[\frac{du}{dx}=u \left[ \frac{x}{y}\frac{dy}{dx}+logy \right]\] \[\frac{du}{dx}=y^x \left[ \frac{x}{y}\frac{dy}{dx}+logy \right] --(2)\]
Still Need Help?
Join the QuestionCove community and study together with friends!
similarly take log v= y logx and substitute it in equation (1) and get the answer :)
Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!
Join our real-time social learning platform and learn together with your friends!
Join our real-time social learning platform and learn together with your friends!
Latest Questions
Countless7Echos:
I don't know just no sketch doodle day :p finished a video already so I'm pretty
Ferrari:
Depression Hi, it's me, Jordan (ferrari). It's supposed to be the Fourth of July but I feel kinda depressed and mad at myself for no reason.
Countless7Echos:
mmm I forgot to post but hey first time trying out hyperpop art :3 super fun TW:
RAVEN69:
The hole You can't fix the hole in my heart. It's permanent. It's been broken to many times and I love it every time.
4 hours ago
9 Replies
2 Medals
5 hours ago
12 Replies
1 Medal
1 day ago
9 Replies
5 Medals
1 day ago
0 Replies
0 Medals