If f_ n (x)=e^ f_ n-1 |x| for all n ∈ N and f_ n (x)=x , then d d x f_ n (x) is equal to:
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
If \(f_{n}(x)=e^{f_{n-1}|x|}\) for all n ∈ N and\(f_{n}(x)=x\), then \(\frac{d}{d x}\left\{f_{n}(x)\right\}\) is equal to:
- \(f_{n}(x) f_{n-1}(x)\)
- \(f_{n}(x) \frac{d}{d x}\left\{f_{n+1}(x)\right\}\)
- \(f_{n}(x) \cdot f_{n-1}(x) \ldots f_{2}(x) f_{1}(x)\)
- None of these
Answer
(D) None of these
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