If f(x)=e^ g(x) and g(x)= _ 2 ^ x t 1+t^ 4 d t then f^ (2) has the value equal to
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
If \(f(x)=e^{g(x)}\) and \(g(x)=\int_{2}^{x} \frac{t}{1+t^{4}} d t\) then \(f^{\prime}(2)\) has the value equal to
- \(2 / 17\)
- \(0\)
- \(1\)
- cannot be determined
Answer
(A) 2 / 17
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