Asked by ally
Find the critical point of the function f(x,y)=2e^x−4xe^y.
Answers
Answered by
oobleck
critical points are where both partial derivatives are zero. So, you need
Fx = 2e^x - 4e^y = 0
Fy = -4xe^y = 0
so, clearly, x=0, so
e^y = 1/2 ... y = -ln2
the critical point is (0,-ln2)
Fx = 2e^x - 4e^y = 0
Fy = -4xe^y = 0
so, clearly, x=0, so
e^y = 1/2 ... y = -ln2
the critical point is (0,-ln2)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.