Question

25 Pts! Calculus Problem! Find y′ if x = sin(x + y)

Answer 1

x = sin(x + y)

differentiating term by term:-

1 = cos(x + y) * (1 + y')

1 = cos (x + y) + y' cos(x + y)

y'  = 1 - cos(x + y)
       ------------------
          cos (x + y)