# Can u differentiate!!!

Calculus Level 4

$$f\left( x \right) =\int _{ -2 }^{ x } \left| x+1 \right|$$

1. $$f\left( x \right)$$ is continuous in [-1,1]. {CORRECT :5 POINTS,WRONG:-1 POINTS}
2. $$f\left( x \right)$$ is differentiable in [-1,1].{CORRECT :7 POINTS,WRONG:-2 POINTS}
3. $$f^{ | }\left( x \right)$$ is continuous in [-1,1].{CORRECT :9 POINTS,WRONG:-3 POINTS}
4. $$f^{ | }\left( x \right)$$ is differentiable in [-1,1].{CORRECT :11 POINTS,WRONG:-4 POINTS}

. CALCULATE THE SUM OF POINTS . PLEASE POST THE DETAILED SOLUTION(I DON'T KNOW THE CORRECT EXPLANATION) . THIS IS NOT ORIGINAL

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