defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Differential Calculus Differentiability
If \(f(x)=\left\{\begin{array}{cc} x & , \quad 0 \leq x \leq 1 \\ 2 x-1 & , \quad x>1 \end{array}\right.\) then
1
f is not continuous but differentiable at x = 1
2
f is differentiable at x = 1
3
f is continuous but not differentiable at x = 1
4
f is discontinuous at x = 1