Question

what is derivative of y*ln(x+y-2)

Answer 1

are you looking for derivative in terms of x or y?

Answer 2

well the derivate of Ln is 1/x
Just reemplace

Answer 3

implicit diffr.

Answer 4

Product rule: derivative (a*b) = derivative a * b + a * derivative b

(y*ln(x+y-2)) '

dy/dx * ln(x+y-2) + y * (1 + dy/dx) * 1 / (x+y-2)

Answer 5

product rule
\[y'*\ln(x+y-2)+y*(1+y')/(x+y-2)\]

Answer 6

that is it!