Question

Find the derivative with respect to x of the function: 

                            . 

Solution

Correct option is

Let  y = (logcos x sin x)(logsinx cos x)-1 + sin-1 (2x/ 1+x2),

        

Consider: u

        

            

      

           

           

           

Consider: v

       

                                    

Differentiating (i) with respect to x at x = π/4, we get:  

        

          

                            

SIMILAR QUESTIONS

Q1

Find dy/dx if  

          

Q2

Find dy/dx if

          

Q3

Find dy/dx if

            

 

Q4

Find dy/dx if 

          

Q5
Q7

If x = at3y = bt2 (t a parameter), find: 

Q8

If x = at3y = bt2 (t a parameter), find:.

Q9

Differentiate xx (x > 0) from first principles.