Q. 74.8( 4 Votes )

If <span lang="EN

Answer :

Here,


y


y = U + V + W


……(1)


Where, u ,v ,w


u


Taking log on both sides,


log u = log


log u


log u


Again, Taking log on both sides,


log log u = log


loglog u


Differentiating both sides with respect to x by using the product rule,





Put value of u and log u,


……(A)


Now,


v


taking log on both sides,


log v = log


log v


Differentiating both sides with respect to x by using the product rule,





Put value of v,


……(B)


Now ,


w =


taking log on both sides,


log w = log


log w


log w


taking log both sides,


log log w


Differentiating both sides with respect to x by using the product rule,





Put the value of w and log w,



Using equation A, B and C in equation (1),



Hence, proved.


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 <iMathematics - Exemplar

Differentiate eacMathematics - Exemplar

Differentiate eacMathematics - Exemplar

Differentiate eacMathematics - Exemplar

Differentiate theRD Sharma - Volume 1

Differentiate eacMathematics - Exemplar

Differentiate eacMathematics - Exemplar

Differentiate theRD Sharma - Volume 1

Differentiate theRD Sharma - Volume 1

Differentiate eacMathematics - Exemplar