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If (1-x^6)^(1/2)+(1-y^6)^(1/2)=a(x^3-y^3),the prove that dy/dx=(x^2/y^2)((1-y^6)/(1-x^6))^1/2

If (1-x^6)^(1/2)+(1-y^6)^(1/2)=a(x^3-y^3),the prove that dy/dx=(x^2/y^2)((1-y^6)/(1-x^6))^1/2

Grade:11

2 Answers

Vinod Kumar
askIITians Faculty 9 Points
8 years ago

-1480_Solution.jpg



Thanks and Regards,
Vinod Kumar,
askIITians faculty,
IIT-Delhi
Kushagra Madhukar
askIITians Faculty 628 Points
2 years ago
Dear student,
 
x, y are variables and a is a constant.
Differentiate both sides of the given equation w.r.t x and then separate all the terms containing dy/dx and then find its value.
On siplifying you will get the answer.
For complete answer refer to the solution posted by Vinod Kumar above.
 
Thanks and regards,
Kushagra

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