MATHEMATICS · Multi correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability
Problem
Let f(x)=∫−2x∣t+1∣dt. Then
(1) f(x) is continuous in [−1,1]
(2) f(x) is differentiable in [−1,1]
(3) f′(x) is continuous in [−1,1]
(4) f′(x) is differentiable in [−1,1]