Question

Any help would be greatly appreciated :)

Partial derivatives:

Find the partial derivative of f(x,y) = ln(x+y)/(x-y)

Answer 1

do each separately.

Answer 2

Partial derivative of x: take the usual derivative, but treat y as a constant.

Partial derivative of y: take the usual derivative, but treat x as a constant.

Expression you have is not crystal clear. Is (x-y) within the logarithm argument or dividing ln(x+y)?

Answer 3

The textbook states it like that but I believe it is ln((x+y)/(x-y))

Answer 4

ln[(x+y)/(x-y)] = ln(x+y) - ln(x-y) simplifying your life!

(d/dx) ln(x+y) = 1/(x+y) etc.

(d/dy)lin(x+y) = 1/(x+y) etc.