Question

Find dy/dx if

          

Solution

Correct option is

                

Substitute x = sin θ                                             …(i)

          

          

          

          

Using (i), y = ½ sin-1x

SIMILAR QUESTIONS

Q1

Evaluate the derivative of f (x) = xn wrt x from definition of derivative. Hence find the derivative of wrt x.

Q2

Find the derivative of sin x wrt x from first principles.

Q3

Differentiate ax wrt x from first principles.

Q4

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

Q5

Differentiate x2 tan x wrt x from first principles.

Q6
Q7

Find dy/dx for the functions. 

       

Q8

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

          x3 + y3 – 3xy = 1.

Q9

Find dy/dx if  

          

Q10

Find dy/dx if