Let f : R → R , g : R → R and h : R → R be differentiable functions such that f ( x ) = x…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let f : R → R, g : R → R and h : R → R be differentiable functions such that f(x) = x3 + 3x + 2, g(f(x)) = x and h (g(g(x))) = x for all x ∈ R. Then
- \(g^{\prime}(2)=\frac{1}{15}\)
- h
- h(0) = 16
- h(g(3)) = 36
Answer
(A) g^ (2)= 1 15
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