If f(x)= _ 1 ^ x^ 3 d t 1+t^ 4 then f^ (x) is equal to
Mathematics · JEE Main · NTA Exams — Integral Calculus
If \(f(x)=\int_{1}^{x^{3}} \frac{d t}{1+t^{4}}\) then \(f^{\prime \prime}(x)\) is equal to
- \[\frac{6 x\left(1-5 x^{12}\right)}{\left(1+x^{12}\right)^{2}}\]
- \[\frac{6 x\left(1+5 x^{12}\right)}{\left(1+x^{12}\right)^{2}}\]
- \[-\frac{6 x\left(1-5 x^{12}\right)}{\left(1+x^{12}\right)^{2}}\]
- none of these
Answer
(A) 6 x (1-5 x^ 12 ) (1+x^ 12 )^ 2
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