f(x,y)=x\sin(x)+\cos(x)-y\sin(x)+\frac{y^2}{2} My task is to find the critical points of t

poveli1e 2022-01-25 Answered
f(x,y)=xsin(x)+cos(x)ysin(x)+y22
My task is to find the critical points of this multivariable function (Determine the set of critical points of the function). Now I found the partial derivative to befx=(xy)cos(x)
fy=ysin(x)
Wolfram Alpha says the critical point(s) is/are at x=y? How do I get the above in that form? The best I could do was get it in the form xysec(x)+tan(x)=y
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Brynn Ortiz
Answered 2022-01-26 Author has 12 answers
Only one critical point is located on the line y=x. There are an infinite number of critical points on the lines y=±1
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Rosa Nicholson
Answered 2022-01-27 Author has 13 answers

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