Differentiate xx (x > 0) From First Principles.

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Question

Differentiate xx (x > 0) from first principles.

Solution

Correct option is

Let f (x) =xx = ex lnx

From first principles,

          

                    

                     

                     

                                                                                     

                     

                     

                     

                     

SIMILAR QUESTIONS

Q1

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

          x3 + y3 – 3xy = 1.

Q2

Find dy/dx if  

          

Q3

Find dy/dx if

          

Q4

Find dy/dx if

            

 

Q5

Find dy/dx if 

          

Q6
Q8

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

Q9

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

Q10

Find the derivative with respect to x of the function: 

                            .