Question

If A=a(cosx+xsinx) and B=a(sinx-xcosx),then find dy/dx

Answer 1

Answer:

Step-by-step explanation:

y=(xsinx+cosx)(xcosx−sinx)

dydx=(xcosx+sinx−sinx)(xcosx−sinx)+(xsinx+cosx)(−xsinx+cosx−cosx)

⇒dydx=(xcosx)(xcosx−sinx)+(xsinx+cosx)(−xsinx)

⇒dydx=x2cos2x−xcosxsinx−x2sin2x−xsinxcosx

⇒dydx=x2(cos2x−sin2x)−2xsinxcosx

⇒dydx=x2cos2x−xsin2x