Question

Find dy/dx for the following function :-y=xlogsinx.​

Answer 1

Answer: xcotx+logsinx

Step-by-step explanation

d/dx(xlogsinx)

This is in the form of (UV) formula (u.d/dX(v)+v.d/dx(u)

x.d/dx(logsinx)+logsinx.d/dx(x)

=x.1/sinx.d/dx(sinx)+logsinx(1)

=x.1/sinx.cosx+logsinx

=xcotx+logsinx

Hope you get this

Thank you