If the variables and are connected by the relation x= _ 1 ^ y d z 1+6 z^ 3 , then d^ 2 y…
Mathematics · JEE Main · NTA Exams — Integral Calculus
If the variables 
and 
are connected by the relation \(x=\int_{1}^{y} \frac{d z}{\sqrt{1+6 z^{3}}},\) then \(\frac{d^{2} y}{d x^{2}}\) is proportional to
and are connected by the relation \(x=\int_{1}^{y} \frac{d z}{\sqrt{1+6 z^{3}}},\) then \(\frac{d^{2} y}{d x^{2}}\) is proportional to
- \(y^{2}\)
- \(y^{3}\)
- none of these
Answer
(B) y^ 2
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