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Answer:
a = 8
b = -8
Step-by-step explanation:
You have the following function:
A function is differentiable at a point c, if the derivative of the function in such a point exists. That is, f'(c) exists.
In this case, you need that the function is differentiable for t=2, then, you have:
If the derivative exists for t=2, it is necessary that the previous derivatives are equal:
Furthermore it is necessary that for t=2, both parts of the function are equal:
Then, a = 8, b = -8