Find dy/dx by implicit differentiation. x sin(y) + y sin(x) = 8

Answer 1

x sin(y) + y sin(x) = 8

Differentiate both sides and get

sin(y) + x cos(y)y' + y'sin(x) + y cos(x) = 0

Now solve for y' and finish from here. Use this same approach in several similar problems that you posted.

Answer 2