let 𝑈(𝑥, 𝑦) be defined for all x > 0, y > 0 by 𝑈(𝑥, 𝑦) = ln(𝑥^a+y^a)-Ln(y^a) where 𝛼 is a positive constant find U'1(x,y), U'2(x,y) and U''12(x,y)

let 𝑈(𝑥, 𝑦) be defined for all x > 0, y > 0 by 𝑈(𝑥, 𝑦) = ln(𝑥^a+y^a)-Ln(y^a) where 𝛼 is a positive constant find U'1(x,y), U'2(x,y) and U''12(x,y)

https://imgur.com/a/3voJV ; Can't format it properly here, so I'll just attach a link EDIT: for some reasons the link doesn't work properly, but if you copy paste it instead of clicking it...

Please show work

(ee )x = 15

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LIM x→1+ ((1/LN(x)) - (1/x2-1))