You are looking at ?
If so you have to use the quotient rule which is if
Have you seen this rule before?
Having a little trouble with this one:
Find the first Partial Derivatives xy/x^2+y^2
fx(x,y)= My interpretation was that in the numerator, x would be 1, leaving me with y
and in the denominator x^2 would be 2x and y^2 would be zero, so I am left with
y/2x, which is wrong. Not sure where I am mistaken so any help would be greatly appreciated. Thanks
Yes, i am familiar with the quotient rule, but in this chapter they are only using "partial differentiation". The only example I have to go off of is f(x,y)= 3x - x²y² + 2x²y f(x) (x,y)= 3-2xy² + 4xy and f(y) (x,y) = -2x²y + 2x² So I am applying that same logic. Problem is I have no examples showing how to do a partial derivative of a quotient.
I was actually close, but not all the way there. Your example I had the same denominator, but in the numerator i had (x² + y²) * y - xy * (2x + 2y)
f (y) (x,y)= x^3 -xy²
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(x² + y²)²
Thank you for you help it is greatly appreciated, and I do have a much better grasp of these problems now.