Question

Find out the derivative of root of x divided by 3 minus 3 divided by root of x

Answer 1

y=cosxDifferentiating both sides with respect to x, we getdydx=12cosx12-1×ddxcosx⇒dydx=12cosx-12×-sinx×ddxx⇒dydx=12cosx-12×-sinx×12x12-1⇒dydx=12cosx-12×-sinx×12x-12⇒dydx=-sinx4cosxx