Hello, yesterday we had a test of calculus and one question was: Find and classify the extreme of h(x,y)=(1+1/(x))*(1+1/(y))*(1/(x)+1/(y)) I have absolutely no idea how to solve this thing. Can someone help me? Greets, Leslon
Follow Math Help Forum on Facebook and Google+
Originally Posted by Leslon Hello, yesterday we had a test of calculus and one question was: Find and classify the extreme of h(x,y)=(1+1/(x))*(1+1/(y))*(1/(x)+1/(y)) I have absolutely no idea how to solve this thing. Can someone help me? Greets, Leslon An extrema is a local minimum or maximum within a function. This is when You have Let's first try to simplify this... Can you derive this?
Well if I derive this, I get: -(1+1/y)*(1/x+1/y)/x^2-(1+1/x)*(1+1/y)/x^2 for dh(x,y)/dx and -(1+1/x)*(1/x+1/y)/y^2-(1+1/x)*(1+1/y)/y^2 for dh(x,y)/dy and now I'm stuck.. What to do next?? PS: I've included a .tex file if necessary
To insert images on this site use 'manage attachments', not the tags I know it works that way on some sites, but the way it works here is better.
View Tag Cloud