Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Analysis Continuity & Differentiability
Consider the function f(x) defined by
\(f(x)=\left\{\begin{array}{cc} m x+n, & x \geq 1 \\ x^2+3 x+3, & x \leq 1 \end{array}\right.\)
Then the function f(x) is differentiable.
1
For a unique value of m and infinitely many values of n.
2
For a unique value of n and infinitely many value of m
3
For infinitely many values of m and n.
4
For unique value of m and n