Answer :

We are given with an equation xy2 = 1, we have to prove that 2 + y3 = 0 by using the given equation we will first find the value of and we will put this in the equation we have to prove


But first we need to simplify this equation in accordance with our result, which is that in our result there is no square root and our derivative is only in the form of x.


= 0



Squaring both sides,


x2(1 + y) = y2(1 + x)


x2 + x2y = y2 + xy2


x2 – y2 = xy2 – x2y


(x – y)(x + y) = xy(y – x)


x + y = – xy


y =


So, now by differentiating the equation on both sides with respect to x, we get,


By using quotient rule, we get,




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