Mathematics · 2020
JEE Main · 8 January 2020, Shift 2 · Q59
Let S be the set of all functions f:[0,1] → R, which are continuous on [0,1] and differentiable on (0, 1). Then for every f in S, there exists a c…
Let $\displaystyle S$ be the set of all functions $\displaystyle f:[0,1] \rightarrow \mathbf{R}$, which are continuous on $\displaystyle [0,1]$ and differentiable on $\displaystyle (0, 1)$. Then for every $\displaystyle f$ in S, there exists a $\displaystyle c \in(0,1)$, depending on $\displaystyle f$, such that :
Official answer
(1)
$\displaystyle |f(c)-f(1)|<\left|f^{\prime}(c)\right|$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.