If for x (0, 1 4 ) , the derivative of ^ -1 ( 6 x x 1-9 x^ 3 ) is x g(x) then g(x) equals

Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability

1. \(\frac{3 x \sqrt{x}}{1-9 x^{3}}\)
2. \(\frac{3 x}{1-9 x^{3}}\)
3. \(\frac{3}{1+9 x^{3}}\)
4. \(\frac{9}{1+9 x^{3}}\)

Answer

(D) 9 1+9 x^ 3

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