Question
Consider the function defined by f(x) = -x + ae"-1, where a e R:
(1) find a such that the graph of the derivative f' of ƒ passes through
(1, 1),
(2) then, for such a, study f and draw its graph,
(3) and determine if ƒ takes negative values.
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Transcribed Image Text

Consider the function defined by f(x) = -x + ae"-1, where a e R: (1) find a such that the graph of the derivative f' of ƒ passes through (1, 1), (2) then, for such a, study f and draw its graph, (3) and determine if ƒ takes negative values.

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