Mathematics · 2022
JEE Main · 26 June 2022, Shift 2 · Q21
Let f: R → R satisfy f(x+y)=2^x f(y)+4^y f(x), ∀ x, y ∈ R. If f(2)=3, then 14 · (f^′(4))/(f^′(2)) is equal to \ \ \ \.
Let $\displaystyle f: \mathbb{R} \rightarrow \mathbb{R}$ satisfy $\displaystyle f(x+y)=2^x f(y)+4^y f(x), \forall x, y \in \mathbb{R}$. If $\displaystyle f(2)=3$, then $\displaystyle 14 \cdot \frac{f^{\prime}(4)}{f^{\prime}(2)}$ is equal to \_\_\_\_.
Official answer
248
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.