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Mathematics · 2019

JEE Main · 12 January 2019, Shift 2 · Q71

Let f be a differentiable function such that f(1)=2 and f^′(x)=f(x) for all x ∈ R. If h(x)=f(f(x)), then h^′(1) is equal to:

Let $\displaystyle f$ be a differentiable function such that $\displaystyle f(1)=2$ and $\displaystyle f^{\prime}(x)=f(x)$ for all $\displaystyle x \in \mathbf{R}$. If $\displaystyle h(x)=f(f(x))$, then $\displaystyle h^{\prime}(1)$ is equal to:
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.