state gov RPSC 2nd Grade Senior Teacher Mock Test Series 2025 Mathematics Differential Calculus Applications of Derivatives
The function \({\rm{f}}\left( {\rm{x}} \right) = \frac{{{{\rm{x}}^2}}}{{{{\rm{e}}^{\rm{x}}}}}\) is monotonically increasing if
1
x < 0 only
2
x > 2 only
3
0 < x < 2
4
x ∈ (-∞, 0) ∪ (2, ∞)
5
Question Not Attempted