Answer :


y = xx


Taking logarithm on both sides,


log y = x log x


Differentiating w.r.t. x on both sides,



=1+log x



=xx (1+log x)


So, at x = e,



=ee (1+1)


=2ee (Ans)


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

If <img widMathematics - Exemplar

Differentiate eacMathematics - Exemplar

If <img widMathematics - Exemplar

If yx Mathematics - Exemplar

Find all points oMathematics - Board Papers

Differentiate theMathematics - Board Papers

Differentiate theMathematics - Board Papers

Find Mathematics - Exemplar