Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematics Differential Calculus Applications of Derivatives
Consider the following statements:
1. \({\rm{y}} = \frac{{{{\rm{e}}^{\rm{x}}} + {{\rm{e}}^{ - {\rm{x}}}}}}{2}\) is an increasing function on [0, ∞).
2. \({\rm{y}} = \frac{{{{\rm{e}}^{\rm{x}}} - {{\rm{e}}^{ - {\rm{x}}}}}}{2}\) is an increasing function on (-∞, ∞).
Which of the above statements is/are correct?
1
1 only
2
2 only
3
Both 1 and 2
4
Neither 1 nor 2