Let \( f(x)=\left\{\begin{array}{cc}5 x+1, & x \leq 2 \\ \int_{0}^{...

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Let \( f(x)=\left\{\begin{array}{cc}5 x+1, & x \leq 2 \\ \int_{0}^{x}(5+|1-t|) d t, & x2\end{array}\right. \)
\( \mathrm{P} \) then which of the following statement(s) is (are) incorrect?
(a) \( f(x) \) is continuous but not differentiable at \( x=2 \).
(b) \( f(x) \) is not continuous at \( x=2 \).
(c) \( f(x) \) is differentiable for all \( x \in R \).
(d) The right hand derivative of \( f(x) \) at \( x=3 \) does not exist.
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