Differentiate part by part let u=xx nd v=sinx
y=u+v
u=xx take log both sides log u= x. logx Now start differentiating 1/u.(du/dx)=1+logx or du/dx=u.(1+log x) now put u value we will get xx differentiation.
v=sinxx take log both sides log v=x.log sinx or 1/v .(dv/dx)=x.(sinx)-1 cosx+log sinx Similarly we have found dv/dx .
Add both d solution du/dx+dv/dx thats d answer of dy/dx