Teaching BPSC 4.0 बिहार उच्च माध्यमिक शिक्षक भर्ती (PGT) Mock Test Mathematics Differential Calculus Differentiability
Consider the following functions:
1. \({\rm{f}}\left( {\rm{x}} \right) = \left\{ {\begin{array}{*{20}{c}} {\frac{1}{{\rm{x}}}{\rm{\;\;if\;\;x}} \ne 0}\\ {0{\rm{\;\;if\;\;x}} = 0} \end{array}} \right.\)
2. \({\rm{f}}\left( {\rm{x}} \right) = \left\{ {\begin{array}{*{20}{c}} {2{\rm{x}} + 5{\rm{\;\;if\;\;x}} > 0}\\ {{{\rm{x}}^2} + 2{\rm{x}} + 5{\rm{\;\;if\;\;x}} \le 0} \end{array}} \right.\)
Which of the above functions is/are derivable at x = 0?1
1 only
2
2 only
3
Both 1 and 2
4
More than one of the above
5
None of the above