Question

Find dy/ d X , if y + sin y = cos X

Answer 1

y+ siny = cosx

differentiate

y' + y' cosy = - sinx

y'= - sinx)/(1+ cosy)

Answer 2

Answer:

given equation is

☑ y + siny = cosx

diff wrt x

dy /dx + cosy x dy/dx = (-sinx)

dy/dx(1+ cosy) = (-sinx)

dy/dx = (-sinx) / (1+cosy)