y=sin(2sin-1x) dy/dx=?

Dear ashima raizada  ,
 
This type of differentiation comes under  Differentiation of composite functions
 Let y be a Differential function of u and u is a Differential function of x, then
        dy/(dx )=dy/(du )×du/(dx )
Hence
     
    y=sin(2sin-1x)

   dy/dx = 2cos (2sin-1x) /sq.rt (1-x^2)




Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We
are all IITians and here to help you in your IIT JEE preparation.


All the best ashima raizada  !!!


Regards,

Askiitians Experts

Chaitanya Sagar