Answer:
E
Explanation:
For a function to be differentiable at a point, it must be continuous at that point [ f(x⁻) = f(x⁺) ], and smooth at that point [ f'(x⁻) = f'(x⁺) ].
f(-1⁻) = 3(-1) + 5 = 2
f(-1⁺) = -(-1)² + 3 = 2
So the function is continuous.
f'(-1⁻) = 3
f'(-1⁺) = -2(-1) = 2
So the function is not smooth.
Therefore, the derivative f'(-1) does not exist.