1.)f(x,y) = arctan(y/x) fx(2,3) how would I do this? 2.) f(x,y) = ln(x+ sqrt(x^2+y^2) ) fx(3,4) 1/(+ sqrt(x^2+y^2) * 1+ 1/2(x^2 + y^2) * 2x is that correct for #2? Thanks
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Originally Posted by khuezy f(x,y) = arctan(y/x) fx(2,3) how would I do this? Thanks First, partially differentiate f(x,y) with respect to x, and then evaluate it at (2,3): Now what is ?? --Chris
i just plug in x and y into that equation right?
how would I do this? 2.) f(x,y) = ln(x+ sqrt(x^2+y^2) ) fx(3,4) 1/(+ sqrt(x^2+y^2) * 1+ 1/2(x^2 + y^2) * 2x is that correct for #2?
Originally Posted by khuezy how would I do this? 2.) f(x,y) = ln(x+ sqrt(x^2+y^2) ) fx(3,4) 1/(x+ sqrt(x^2+y^2)) * 1+ (1/2(x^2 + y^2) * 2x) is that correct for #2? Note the slight modifications I made. It should be Then plug in 3 for x and 4 for y. --Chris
Originally Posted by Chris L T521 First, partially differentiate f(x,y) with respect to x, and then evaluate it at (2,3): Now what is ?? --Chris Originally Posted by khuezy i just plug in x and y into that equation right? Yes! What did you get for the answer? --Chris
Find all the second partial derivatives of v = xy/(x-y) could you quickly show me the steps to see if I did it correctly? Thanks again
Originally Posted by khuezy Find all the second partial derivatives of v = xy/(x-y) could you quickly show me the steps to see if I did it correctly? Thanks again First you need to find and Now, there are four different second partial derivatives: , , and Note, you should always see that Does this make sense? --Chris
but I don't get how you did the fyy/fxx aren't you suppose to the the derivative of fx it looks like you took it from the f(x,y) instead of fx(x,y)
Originally Posted by khuezy but I don't get how you did the fyy/fxx aren't you suppose to the the derivative of fx it looks like you took it from the f(x,y) instead of fx(x,y) Is that what you are asking?
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