Determine whether rolles theorem can be applied to f on the


1. Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b].

f(x) = 2 tan x, [0, π]

If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = 0.

2. Find the point on the graph of the function that is closest to the given point.

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Mathematics: Determine whether rolles theorem can be applied to f on the
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