Question

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

Solution

Correct option is

Let f (x) = sin (log x)  

Using the definition of derivatives, 

            

       

                    

                      

                    

                    

                    

SIMILAR QUESTIONS

Q1

Let f is a differentiable function such that   

     .

Q2

Let f be a function such that  .   

.

Q3

Find and b so that the function:    

 

   

Q4

 is continuous at x = 0, find the values of Aand B. Also find f (0).

Q5

Find the natural number a for which  where the function f satisfies the relation f (x + y) = f (xf (y) for all natural number xy and further f (1) = 2.

 

Q6

Find the derivative of y = log x wrt x from first principles.

Q7

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

Q8

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

Q9

Differentiate ax wrt x from first principles.

Q10

Differentiate x2 tan x wrt x from first principles.