Question

Find dy/dx if 

          

Solution

Correct option is

               

Substitute x = tanθ                            …(i)

             

            

           y = 2θ +2θ  

           y = 4θ = 4 tan-1x            [using (i)]

SIMILAR QUESTIONS

Q1

Differentiate ax wrt x from first principles.

Q2

Differentiate sin (log x) wrt x from first principles.

Q3

Differentiate x2 tan x wrt x from first principles.

Q4
Q5

Find dy/dx for the functions. 

       

Q6

Find the expression for dy/dx for the following implicit function. 

          x3 + y3 – 3xy = 1.

Q7

Find dy/dx if  

          

Q8

Find dy/dx if

          

Q9

Find dy/dx if

            

 

Q10