🛠️ JEE➗ Maths

\(\text{ If }f(x)=\left{\begin{matrix}{\int }_{0}^{x}(5+|1-t|)dt, & x>2 \\ 5x+1, & x\leq 2\end{matrix}\right.\text{, the…

Q1

\(\text{ If }f(x)=\left{\begin{matrix}{\int }_{0}^{x}(5+|1-t|)dt, & x>2 \\ 5x+1, & x\leq 2\end{matrix}\right.\text{, then }\)

[JEE Main 2021, 25 Jul (Shift 2)]

a

f(x) is not continuous at x = 2

b

f(x) is not differentiable at x = 1

c

f(x) is continuous but not differentiable at x = 2

d

f(x) is everywhere differentiable

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