Find derivative of f(x)=elnx+sinx+8
Step 1: Given
y=elnx+sinx+8
Step 2: Formula used
d(lnx)d(x)=1x , d(c)dx=0 and d(ex)dx=ex (where c is constant)
Step 2: Finding the derivative
y′=delnxdx+dsinxdx+d8dx
⇒ delnxdlnx×dlnxdx+cosx+0
⇒ y′=elnx.1x+cosx
Hence, the correct option is D.