Question

find dy/dx by implicit differentiation:

sin x = x(1+tan y)

Answer 1

sin(x) = x(1+ tan(x))
cos(x) = x sec²(y) dy/dx + (1 + tan(y)) using product rule
so dy/dx = (cos(x) - tan(y) - 1) / (x sec²(y))

Answer 2

thank you so much!!!!