if y=xsinx-cscx+5,then find dy over dx

Question

if y=xsinx-cscx+5,then find dy over dx.

Answer 1

y = x sinx - cscx + 5

 

y = x sinx - 1/sinx + 5

 

Apply product rule on first term, power and chain rule on second term

 

dy/dx = sinx + xcosx + (1/sin²x)cosx

 

You can simplify it from here.