Let f(x)= array ll _ 0 ^ x 5+|1-y| d y & if x>2 5 x+1 & if x 2 array . Then
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
Let \[f(x)=\left\{\begin{array}{ll}
\int_{0}^{x}\{5+|1-y|\} d y & \text { if } x>2 \\
5 x+1 & \text { if } x \leq 2
\end{array}\right.\]
Then
Then
is continuous but not differentiable at \(x=2\)
is not continuous at \(x=2\)
is differentiable everywhere- The right derivative of
at \(x=2\) does not exist
Answer
(A) is continuous but not differentiable at x=2
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