Can you plz Differentiate y=sin squared(X+1)?

1 Answer
Mar 4, 2018

#dy/dx=2sin(x+1)cos(x+1)#

Explanation:

#y=sin^2(x+1)=(sin(x+1))^2#.Take,#u=sin(x+1)#
So,
#y=u^2#,where, #u=sin(x+1)#
#rArrdy/(du)=2u,and,(du)/dx=cos(x+1)#
#rArrcolor(red)((dy)/(dx)=((dy)/(du))*((du)/(dx)))#
#dy/dx=(2u)*cos(x+1),where,u=sin(x+1)#
#dy/dx=2sin(x+1)*cos(x+1)=sin(2x+2)#