derivative of sinx

I am confused how do i do this

Derivative of Sin(x+y)=x

thanks in advance

derivative of sinx

Quote:Derivative of Sin(x+y)=x

Hello

differentiate both sides sin(x+y)=x:
d/dx(sin(x+y)=dx/dx
cos(x+y)(1+dy/dx)=1
cos(x+y) + dy/dx =1
dy/dx= (1-cos(x+y))/cos(x+y)