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1. 2 x Given the function: f (x) = x e . Determine the intervals of increase and decrease and state the local maximum and minimum point(s), if they exist. 2 2. Consider the function: f(x) = sin x + tan x. Determine the equation of the TT tangent to the curve at the point with x-coordinate 4 2x e -1 If y = dy 3. 2x prove that = - y. e +1 dx