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★ 8/10ExtremacalculusMonotonicityCasework

Problem

The function

f(x)=mx+sin⁡xexf(x) = mx + \frac{\sin x}{e^x}

has exactly one local maximum and one local minimum on (0,2π)(0, 2\pi). Find the range of possible values of the real number mm.

Answer

Solution

Difficulty8/10
TopicsExtrema, calculus, Monotonicity, Casework

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