Mathematics · 2021
JEE Main · 25 July 2021, Shift 2 · Q72
If f(x)= {∫_0^x(5+|1- t |) dt, x>2; 5 x+1, x ≤ 2}, then
If $\displaystyle f(x)=\left\{\begin{array}{ll}\int_0^x(5+|1-\mathrm{t}|) \mathrm{dt}, & x>2 \\ 5 x+1, & x \leqslant 2\end{array}\right.$, then
Official answer
(2)
$\displaystyle f(x)$ is continuous but not differentiable at $\displaystyle x=2$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.